Superabundant Number/Examples/24

Example of Superabundant Number

The abundancy index of $24$ is:

$\dfrac {\map {\sigma_1} {24} } {24} = \dfrac {60} {24} = 2 \cdotp 5$

Proof

\(\ds \map {\sigma_1} {24}\)

\(=\)

\(\ds 60\)

$\sigma_1$ of $24$

\(\ds \leadsto \ \ \)

\(\ds \dfrac {\map {\sigma_1} {24} } {24}\)

\(=\)

\(\ds \dfrac {60} {24}\)

\(\ds \)

\(=\)

\(\ds 2 \cdotp 5\)

$\blacksquare$