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Number Theory Calculators

Perfect Number Checker

Check if a number is perfect, abundant or deficient by comparing it with the sum of its proper divisors.

Enter values

Results update as you type.

Result

Classification

Perfect number

28 equals the sum of its proper divisors.

Sum of proper divisors
28

About the Perfect Number Checker

Check if a number is perfect, abundant or deficient by comparing it with the sum of its proper divisors.

Also known as: is perfect number, abundant number, deficient number, aliquot sum.

How to use this calculator

  1. Enter whole number.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

Perfect: σ(n) − n = n

Worked example

Using the values pre-filled in the calculator above:

  • Whole number = 28

the calculator returns:

  • Classification: Perfect number
  • Sum of proper divisors: 28