Superabundant Number/Examples/60

Example of Superabundant Number

The abundancy index of $60$ is:

$\dfrac {\map {\sigma_1} {60} } {60} = \dfrac {168} {60} = 2 \cdotp 8$

Proof

\(\ds \map {\sigma_1} {60}\)

\(=\)

\(\ds 60\)

$\sigma_1$ of $60$

\(\ds \leadsto \ \ \)

\(\ds \dfrac {\map {\sigma_1} {60} } {60}\)

\(=\)

\(\ds \dfrac {168} {60}\)

\(\ds \)

\(=\)

\(\ds 2 \cdotp 8\)

$\blacksquare$