Definition:Abundant Number/Definition 2

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

Let $\sigma \left({n}\right)$ be the sigma function of $n$.

$n$ is abundant $\dfrac {\sigma \left({n}\right)} n > 2$.

The first few abundant numbers are:


 * $12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108, 112, 114, 120, \ldots$

Also see

 * Definition:Deficient/Definition 2
 * Definition:Abundancy