Superabundant Number/Examples/12
Jump to navigation
Jump to search
Example of Superabundant Number
The abundancy index of $12$ is:
- $\dfrac {\map {\sigma_1} {12} } {12} = \dfrac {28} {12} = 2 \cdotp \dot 3$
Proof
\(\ds \map {\sigma_1} {12}\) | \(=\) | \(\ds 28\) | $\sigma_1$ of $12$ | |||||||||||
\(\ds \leadsto \ \ \) | \(\ds \dfrac {\map {\sigma_1} {12} } {12}\) | \(=\) | \(\ds \dfrac {28} {12}\) | |||||||||||
\(\ds \) | \(=\) | \(\ds 2 \cdotp \dot 3\) |
$\blacksquare$