Perfect Number Checker

6, 28, 496, 8128. For example, divisors of 6 are 1+2+3=6.

A number is abundant if the sum of its proper divisors exceeds the number itself, e.g., 12 (1+2+3+4+6=16 > 12).

Check if a number is perfect, abundant, or deficient.

Enter a number

How It Works

Enter a positive integer. The tool sums all proper divisors (excluding N itself) and compares the sum to N to classify it.

Perfect: sum of proper divisors = N. Abundant: sum > N. Deficient: sum < N.

6, 28, 496, 8128. For example, divisors of 6 are 1+2+3=6.

A number is abundant if the sum of its proper divisors exceeds the number itself, e.g., 12 (1+2+3+4+6=16 > 12).