Category:Aliquot Sums

This category contains results about Aliquot Sums.
Definitions specific to this category can be found in Definitions/Aliquot Sums.

Let $n \in \Z$ be a positive integer.

The aliquot sum $\map s n$ of $n$ is defined as the sum of its aliquot parts:

$\map s n = \map {\sigma_1} n - n$

where $\map {\sigma_1} n$ denotes the divisor sum of $n$.