Knowee
Questions
Features
Study Tools

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 STDOUTCode constraints :0< n <109Sample test cases :Input 1 :22Output 1 :14

Question

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 STDOUTCode constraints :0< n <109Sample test cases :Input 1 :22Output 1 :14

🧐 Not the exact question you are looking for?Go ask a question

Solution

The problem statement is asking to write a program that will check if a given number is a perfect number or not. A perfect number is a positive integer that is equal to the sum of its proper positive divisors, excluding the number itself.

If the number is a perfect number, the program should print '1'. If the number is not a perfect number, the program should print the sum of the proper divisors of the number.

Here is a Python solution for the problem:

def sum_of_divisors(n):
    sum = 1
    i = 2
    while i * i <= n:
        if n % i:
            i += 1
        else:
            if i * (n // i) == n:
                sum = sum + i + (n//i)
            else:
                sum+= i
            i += 1
    return sum

n = int(input())
sum = sum_of_divisors(n)
if sum == n:
    print('1')
else:
    print(sum)

This program works by iterating over all numbers from 2 to the square root of n. For each number, it checks if it is a divisor of n. If it is, it adds it to the sum. If the number and its corresponding pair are the same, it only adds it once. Finally, it checks if the sum of the divisors is equal to n. If it is, it prints '1'. Otherwise, it prints the sum.

This problem has been solved

Similar Questions

Problem Statement:Given a number check whether the number is deficient number or not.DEFICIENT NUMBER :  A deficient number or defective number  is a number for which the sum of proper divisors is less than n. For example, the proper divisors of 8 are 1, 2, and 4, and their sum is less than 8, so 8 is deficientInput Format:Given an integer n .Output Format:Print Yes if it is a deficient number or No .Sample Input 1:8Sample Output 1:YesSample Input 2:6Sample Output 2:No

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

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')

Write a program to accept an integer N and print the sum of first N odd numbersInput Format:An integer range is given inputOutput Format:Print only calculated sum.Constraints:1 <= N <= 10^16 Sample Input 1:2Sample Output 1:4Sample Input 2:10Sample Output 2:100

Number of DivisorsGiven a number, find the number of divisors of that number.Input FormatFirst line of input contains T - number of test cases. Its followed by T lines, each containing a single number N.Output FormatFor each test case, print the number of divisors of N, separated by newline.Constraints30 points1 <= T <= 1001 <= N <= 10670 points1 <= T <= 1001 <= N <= 109ExampleInput581680892397158Output416328ExplanationSelf Explanatory

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.