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:

$\forall m \in \Z_{>0}, m < n: \dfrac {\map {\sigma_1} m} m < \dfrac {\map {\sigma_1} n} n$

where $\sigma_1$ denotes the divisor sum function.