Hướng dẫn proper positive divisors python - số chia dương thích hợp python

Cập nhật lần cuối vào ngày 19 tháng 8 năm 2022 21:50:47 (UTC/GMT +8 giờ)

Chức năng Python: Bài tập-11 với giải pháp

Viết chức năng Python để kiểm tra xem một số có hoàn hảo hay không.

Theo Wikipedia: Theo lý thuyết số, một số hoàn hảo là một số nguyên dương bằng tổng số các giao diện dương hợp lý của nó, nghĩa là tổng số các giao diện dương của nó không bao gồm chính số (còn được gọi là tổng hợp của nó). Tương tự, một số hoàn hảo là một số là một nửa tổng của tất cả các ước số dương của nó (bao gồm cả chính nó). Ví dụ & NBSP; 1 + 2 + 3 + 6) / 2 = 6. Số hoàn hảo tiếp theo là 28 = 1 + 2 + 4 + 7 + 14. Điều này được theo sau bởi các số hoàn hảo 496 và 8128.
Example : The first perfect number is 6, because 1, 2, and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: ( 1 + 2 + 3 + 6 ) / 2 = 6. The next perfect number is 28 = 1 + 2 + 4 + 7 + 14. This is followed by the perfect numbers 496 and 8128.

Giải pháp mẫu:-:-

Mã Python:

def perfect_number(n): sum = 0 for x in range(1, n): if n % x == 0: sum += x return sum == n print(perfect_number(6))

Đầu ra mẫu:

True

Trình bày bằng hình ảnh:

Sơ đồ:

Trực quan hóa thực thi mã Python:

Công cụ sau đây trực quan hóa những gì máy tính đang làm từng bước khi nó thực hiện chương trình đã nói:

Trình chỉnh sửa mã Python:

Có một cách khác để giải quyết giải pháp này? Đóng góp mã của bạn (và nhận xét) thông qua Disqus.

Trước đây: Viết chương trình Python để in các số chẵn từ một danh sách đã cho. Write a Python program to print the even numbers from a given list.
Next: Write a Python function that checks whether a passed string is palindrome or not.

True 6>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 2 >>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 3Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.37 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.38__

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.1 >>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 3Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.28 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.53Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.37 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.55

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.5Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.1>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 3Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.37 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.40Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.37 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.64Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.28__

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Examples:

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.

Bàn luậnSimple Solution is to go through every number from 1 to n-1 and check if it is a divisor. Maintain sum of all divisors. If sum becomes equal to n, then return true, else return false.
An Efficient Solution is to go through numbers till square root of n. If a number ‘i’ divides n, then add both ‘i’ and n/i to sum.
Below is the implementation of efficient solution.

C++

#include<iostream>

Một số là một con số hoàn hảo nếu bằng tổng số các giao diện thích hợp của nó, nghĩa là tổng số các ước số dương của nó không bao gồm chính số. Viết một hàm để kiểm tra xem một số đã cho có hoàn hảo hay không. & NBSP; Ví dụ: & nbsp;

Một giải pháp đơn giản là đi qua mỗi số từ 1 đến N-1 và kiểm tra xem đó có phải là một ước số không. Duy trì tổng của tất cả các ước. Nếu tổng trở nên bằng n, thì trả về true, nếu không trả về false. Một giải pháp hiệu quả là đi qua các số cho đến căn bậc hai của n. Nếu một số ‘I, chia n, thì hãy thêm cả‘ I, và N/I vào tổng. & Nbsp; bên dưới là việc thực hiện giải pháp hiệu quả. & Nbsp; & nbsp;

True 5

using namespace std;

bool True 0True 1 True 1 True 3 True 4

True 6True 5

True 6True 1 True 1 True 3 >>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 0

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0True 5

True 6>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 2 >>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 3True 1 True 1 True 3 >>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 7

True 6Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.8Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number3

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number8Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.1 #include<iostream>0

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

#include<iostream>1#include<iostream>2 #include<iostream>3#include<iostream>4

True 5

True 6using4using5#include<iostream>4

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number8#include<iostream>2 #include<iostream>7#include<iostream>4

True 3 using1

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.5namespace6namespace7#include<iostream>4

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.1 namespace4

True 6#include<iostream>2 std;1

Java

std;3 std;4

True 5

std;6 std;7 True 0True 3 True 4

True 6True 5

True 6True 3 bool4bool5#include<iostream>4

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0True 5

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.8True 17

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.8True 21

True 6Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

True 6Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.1 True 28bool5True 10

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0____52 #include<iostream>3#include<iostream>4

True 5

True 6#include<iostream>2 #include<iostream>7#include<iostream>4

True 49True 50True 51

True 40 std;6 True 42 True 43

True 3 using1

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.5True 65

True 66True 67True 51

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

Python3

True 6#include<iostream>2 std;1

Java

std;3 std;4

True 5

std;6 std;7 True 0True 3 True 4

True 6True 3 bool4bool5#include<iostream>4

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 28>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 47True 67True 10

C#

True 6#include<iostream>2 std;1

True 5

Java

True 5

std;3 std;4

True 5

True 6True 5

std;6 std;7 True 0True 3 True 4

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0True 5

True 6True 3 bool4bool5#include<iostream>4

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.8True 17

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.8True 21

True 6Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

True 5

True 6#include<iostream>2 #include<iostream>7#include<iostream>4

True 49True 50True 51

True 40 std;6 True 42 True 43

True 3 using1

True 66True 67True 51

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

True 6>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 2 >>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 3True 3 namespace1

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.25

True 5

True 6#include<iostream>2 std;1

Java

True 6True 5

std;3 std;4

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0True 5

True 5

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.8Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.32 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.69Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.32 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.71Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.37 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.73Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.28

True 6Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

True 6Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.1 >>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 3Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.32 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.95Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.28

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0#include<iostream>2 Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number02

True 6#include<iostream>2 Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number05

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number07 using5#include<iostream>4

>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 2 >>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 3Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.28 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.38Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.28 Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number15Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.28Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.46

True 6Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.1 Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number20Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.28Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number22

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number07 Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number25#include<iostream>4

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number27

JavaScript

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number28

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.26 Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number30

True 5

True 6>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 2 Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number36

True 6True 5

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.0True 5

True 6Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

True 6Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.1 #include<iostream>0

True 6#include<iostream>2 #include<iostream>7#include<iostream>4

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number5

True 6Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number70>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 30 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.71Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number73True 51

True 6>>> import collections >>> A = collections.Counter([1, 1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7]) >>> A Counter({3: 4, 1: 2, 2: 2, 4: 1, 5: 1, 6: 1, 7: 1}) >>> A.most_common(1) [(3, 4)] >>> A.most_common(3) [(3, 4), (1, 2), (2, 2)] 2 Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number77

Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.5Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number82True 67 Input: n = 15 Output: false Divisors of 15 are 1, 3 and 5. Sum of divisors is 9 which is not equal to 15. Input: n = 6 Output: true Divisors of 6 are 1, 2 and 3. Sum of divisors is 6.71Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number73True 51

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number87

Output:

Below are all perfect numbers till 10000 6 is a perfect number 28 is a perfect number 496 is a perfect number 8128 is a perfect number

Độ phức tạp về thời gian: O (√n) O(√n)

Không gian phụ trợ: O (1), vì không có thêm dung lượng nào được lấy. Hãy là một số sự thật thú vị về các số hoàn hảo: & nbsp; 1) Mỗi số hoàn hảo là của Mẫu 2p? ;? muốn chia sẻ thêm thông tin về chủ đề được thảo luận ở trên & NBSP;O(1), since no extra space has been taken.
Below are some interesting facts about Perfect Numbers:
1) Every even perfect number is of the form 2p?1(2p ? 1) where 2p ? 1 is prime.
2) It is unknown whether there are any odd perfect numbers.
References:
//en.wikipedia.org/wiki/Perfect_number
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above

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