Superabundant Number/Examples/6

Example of Superabundant Number

The abundancy index of $6$ is:

$\dfrac {\map {\sigma_1} 6} 6 = \dfrac {12} 6 = 2$

Proof

\(\ds \map {\sigma_1} 6\)

\(=\)

\(\ds 12\)

$\sigma_1$ of $6$

\(\ds \leadsto \ \ \)

\(\ds \dfrac {\map {\sigma_1} 6} 6\)

\(=\)

\(\ds \dfrac {12} 6\)

\(\ds \)

\(=\)

\(\ds 2\)

$\blacksquare$