Superabundant Number/Examples/36

Example of Superabundant Number

The abundancy index of $36$ is:

$\dfrac {\map {\sigma_1} {36} } {36} = \dfrac {91} {36} = 2 \cdotp 52 \dot 7$

Proof

\(\ds \map {\sigma_1} {36}\)

\(=\)

\(\ds 60\)

$\sigma_1$ of $36$

\(\ds \leadsto \ \ \)

\(\ds \dfrac {\map {\sigma_1} {36} } {36}\)

\(=\)

\(\ds \dfrac {91} {36}\)

\(\ds \)

\(=\)

\(\ds 2 \cdotp 52 \dot 7\)

$\blacksquare$