Perfect Number Checker

Check if a number is a perfect number, deficient, or abundant based on the sum of its proper divisors.

\sigma(n) = 2n \text{ (or the sum of proper divisors equals } n\text{)}

Result

Step-by-Step Calculation & Explanation

A perfect number is a positive integer that is equal to the sum of its positive proper divisors (excluding the number itself). If the sum of divisors is less than the number, it is deficient. If it is greater, it is abundant. For example, 6 is perfect because its proper divisors are 1, 2, and 3, and \( 1 + 2 + 3 = 6 \).