Perfect number
Detailed guide and Python implementation for the 'Perfect number' problem.
Problem Statement
Write a function is_perfect(n) that takes a positive integer n and returns True if it is a perfect number, or False otherwise. A perfect number is a number that equals the sum of its proper divisors (all divisors excluding the number itself). For example, 6 = 1 + 2 + 3.
- •1 <= n <= 10^6
Examples
n = 6
True
The proper divisors of 6 are 1, 2, 3. Their sum is 1 + 2 + 3 = 6.
n = 28
True
The proper divisors of 28 are 1, 2, 4, 7, 14. Their sum is 1 + 2 + 4 + 7 + 14 = 28.
n = 12
False
The proper divisors of 12 are 1, 2, 3, 4, 6. Their sum is 16, which is not 12.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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