Superabundant Number/Examples/180

Example of Superabundant Number

The abundancy index of $180$ is:

$\dfrac {\map {\sigma_1} {180} } {180} = \dfrac {546} {180} = 3 \cdotp 0 \dot 3$

Proof

\(\ds \map {\sigma_1} {180}\)

\(=\)

\(\ds 546\)

$\sigma_1$ of $180$

\(\ds \leadsto \ \ \)

\(\ds \dfrac {\map {\sigma_1} {180} } {180}\)

\(=\)

\(\ds \dfrac {546} {180}\)

\(\ds \)

\(=\)

\(\ds 3 \cdotp 0 \dot 3\)

$\blacksquare$