Superabundant Number/Examples/24
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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 $24$ | |||||||||||
\(\ds \leadsto \ \ \) | \(\ds \dfrac {\map {\sigma_1} {24} } {24}\) | \(=\) | \(\ds \dfrac {60} {24}\) | |||||||||||
\(\ds \) | \(=\) | \(\ds 2 \cdotp 5\) |
$\blacksquare$