Superabundant Number/Examples/120

Example of Superabundant Number

The abundancy index of $120$ is:

$\dfrac {\map {\sigma_1} {120} } {120} = \dfrac {360} {120} = 3$

Proof

\(\ds \map {\sigma_1} {120}\)

\(=\)

\(\ds 360\)

$\sigma_1$ of $120$

\(\ds \leadsto \ \ \)

\(\ds \dfrac {\map {\sigma_1} {120} } {120}\)

\(=\)

\(\ds \dfrac {360} {120}\)

\(\ds \)

\(=\)

\(\ds 3\)

$\blacksquare$