# Category:Superabundant Numbers

This category contains results about Superabundant Numbers.

Let $n \in \Z_{>0}$ be a positive integer.

Then $n$ is superabundant if and only if:

$\forall m \in \Z_{>0}, m < n: \dfrac {\map \sigma m} m < \dfrac {\map \sigma n} n$

where $\map \sigma n$ is the $\sigma$ function of $n$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Superabundant Numbers"

The following 12 pages are in this category, out of 12 total.