Problem 61420. Sum of proper divisors (aliquot sum)

Shourov

5 solvers

0 likes

Solve

Solve Later

A proper divisor of a positive integer n is any divisor of n except n itself. The aliquot sum is the sum of all proper divisors.
Given a positive integer n, return s, the sum of its proper divisors.
For example, the proper divisors of 12 are 1, 2, 3, 4, and 6, so the aliquot sum is 16.
Note: the aliquot sum of 1 is 0 (it has no proper divisors).
Examples:
  n = 12  ->  16   (1 + 2 + 3 + 4 + 6)
  n = 6   ->  6    (1 + 2 + 3, so 6 is a "perfect number")
  n = 1   ->  0
  n = 7   ->  1    (prime, only proper divisor is 1)