# Category:Highly Composite Numbers

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This category contains results about Highly Composite Numbers.

Definitions specific to this category can be found in Definitions/Highly Composite Numbers.

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

Then $n$ is **highly composite** if and only if:

- $\forall m \in \Z_{>0}, m < n: \map \tau m < \map \tau n$

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

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Highly Composite Numbers"

The following 5 pages are in this category, out of 5 total.