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DivisorSigma ​

The sum of the kth powers of the divisors of n.

WikipediaDivisor functionMathWorldDivisorFunctionWikidataQ915474DLMF27.2.E1027.2.E927.2.i.p4FungrimDivisorSigmaFungrim entry7c00e6Wolfram LanguageDivisorSigma✓
DivisorSigma(k, n)sum of the th powers of the divisors of .

Domain: Number theory

Details
  • gives the divisor count ; gives the ordinary sum of divisors.
  • Multiplicative: whenever .
  • A perfect number satisfies , as with 6 and 28.
  • compute-engine requires a non-negative integer exponent.

Examples

See also: Divisors