# Category:Highly Abundant Numbers

This category contains results about Highly Abundant Numbers.
Definitions specific to this category can be found in Definitions/Highly Abundant Numbers.

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

Then $n$ is highly abundant if and only if:

$\forall m \in \Z_{>0}, m < n: \sigma \left({m}\right) < \sigma \left({n}\right)$

where $\sigma \left({n}\right)$ is the $\sigma$ function of $n$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Highly Abundant Numbers"

This category contains only the following page.