Perfect Numbers X89384

Statement

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

Information

Author: InfBesos
Language: English
Other languages: Catalan Spanish
Official solutions: Python
User solutions: Python