---
tag: 04J4Z73J5B
kind: concept
name: Divisor function
msc: [11A25]
sources:
  - url: https://en.wikipedia.org/wiki/Divisor_function
    locator: lead section
same_as:
  wikidata: Q915474
  wikipedia: Divisor function
---

## Summary

The divisor function $\sigma_k$ sends a positive integer $n$ to the sum of the $k$-th powers of its positive divisors.
The [[definition of the divisor function|0YEW47VJ0J]] gives the precise form.