Aliquot Sum Calculator

Compute the sum of proper divisors of n excluding n itself.

Description

Compute the sum of proper divisors of n excluding n itself.

Compute the sum of proper divisors of n excluding n itself.

When to use Aliquot Sum Calculator

Use this tool to test or transform exact integers according to the named number-theory definition, for education, validation, or algorithm checks.

n
An integer input greater than or equal to 1.

How the calculation works

The formula below determines the tool output. Aliquot sum: The calculated aliquot sum.1

s(n) = Σ proper positive divisors of n

Limitations and assumptions

This tool applies an exact integer definition within JavaScript's safe-integer range. It is not an arbitrary-precision factorization or proof system, so do not use rounded measurements or integers beyond the accepted domain as though they were exact.

Alternative or Complementary approaches

Complement a number-property result with its factorization, divisors, digit representation, or a second independent predicate. A true result establishes only the named property and does not imply other properties such as primality.

References

  1. Aliquot sum — Wikipedia contributors

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