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A perfect number is a positive integer that is equal to the sum of its proper positive divisors, i.e. the sum of its positive divisors excluding the number itself.You are given a function,def DetectPerfectNumber(n)The function accepts an integer 'n' as its argument. Implement the function such that it returns '1' if 'n' is a perfect number, else returns the sum of the proper divisors of 'n'.Example:Input:22Output:14Explanation: Proper positive divisors of 22 are 1, 2 and 11. 1 + 2 + 11 = 14 which is not equal to 22, hence 22 is not a perfect number. So the output is 14 which is the sum of its proper divisors.The custom input format for the above case:22(The line represents 'n')

Question

A perfect number is a positive integer that is equal to the sum of its proper positive divisors, i.e. the sum of its positive divisors excluding the number itself.You are given a function,def DetectPerfectNumber(n)The function accepts an integer 'n' as its argument. Implement the function such that it returns '1' if 'n' is a perfect number, else returns the sum of the proper divisors of 'n'.Example:Input:22Output:14Explanation: Proper positive divisors of 22 are 1, 2 and 11. 1 + 2 + 11 = 14 which is not equal to 22, hence 22 is not a perfect number. So the output is 14 which is the sum of its proper divisors.The custom input format for the above case:22(The line represents 'n')

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Solution

Here is a Python function that implements the logic described in the problem:

def DetectPerfectNumber(n):
    sum = 0
    for i in range(1, n):
        if n % i == 0:
            sum += i
    if sum == n:
        return 1
    else:
        return sum

This function works by iterating over all numbers from 1 to n-1 (the proper divisors of n). If n is divisible by the current number i (i.e., n % i == 0), then i is a proper divisor of n, and we add it to the sum.

After the loop, we check if the sum of the proper divisors is equal to n. If it is, n is a perfect number, and we return 1. Otherwise, we return the sum of the proper divisors.

This problem has been solved

Similar Questions

Input format :The input consists of a single line:The line contains an integer denoting n.The input will be read from the STDIN by the candidate.Output format :Print’1’ if n is a perfect number, else print the sum of the proper divisors of n.The output will be matched to the candidate’s output printed on STDOUT

Problem StatementLily is working on a program to find perfect numbers within a user-defined range. Create a program for her that helps find and display all the perfect numbers within a user-defined range a and b.A perfect number is a number for which the sum of its proper divisors (excluding the number itself) equals the number itselfAsk Lily for the starting and ending values (both inclusive) of the range and display the perfect numbers found.Note: This question helps in clearing technical coding tests for service-based companies.Input format :The input consists of two space-separated integers a and b, representing the starting and ending range, respectively.Output format :The output prints the perfect numbers present in the given range, separated by a space.If there are no perfect numbers present, the output prints "No perfect numbers".Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:5 ≤ a < b ≤ 105Sample test cases :Input 1 :6 28Output 1 :6 28Input 2 :10 100000Output 2 :28 496 8128Input 3 :50 60Output 3 :No perfect numbers

Write a function “perfect()” that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000.[An integer number is said to be “perfect number” if its factors, including 1(but not the number itself), sum to the number. E.g., 6 is a perfect number because 6=1+2+3].

Write a program to check the given number is perfect or not ?

Given an input  check for perfect number, abundant or deficent number by using the given function find_sum_of_facfors().  find_sum_of_factors() is predefined and it will return the sum of factors of the given number.If sum of factors of a number is more than the given number - Abundant numberIf sum of factors of a number is less than the given number - Deficient numberIf sum of factors of a number is equal to the given number - Perfect numberNote: Dont include the number as factor for finding sum of factorsi.e., 10 -> 1 + 2 + 5 = 8(sum of factors)Input Format:Accept an integer as input.Output Format:On checking print "Perfect number" or "Abundant number" or "Deficient number".Constraints:1 <=  number <= 10^9Sample Input 1:13Sample Output 1:Deficient numberSample Input 2:6Sample Output 2:Perfect number

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