Perfect Numbers X89384
An integer n greater than zero is perfect if its equal to the sum of its divisors (except itself). Therefore, 6 is perfect since the sum of its divisors (but itself) is 1 + 2 + 3 = 6. In contrast, 8 is not perfect since 1 + 2 + 4 = 7 which is diferent from 8.
Write a function is_perfect_number(n) that given the integer number n greater than zero determines if n is perfect or not.
Observation
Until 2016 only 49 perfect numbers were known! Probably the same number that are known nowadays!
Sample session
>>> is_perfect_number(6) True >>> is_perfect_number(8) False >>> is_perfect_number(28) True >>> is_perfect_number(496) True >>> is_perfect_number(1) False