Integers whose Ratio between Divisor Sum and Phi is Square/Examples
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Examples of Integers whose Ratio between Divisor Sum and Phi is Square
Example: $714$
\(\ds \map \phi {714}\) | \(=\) | \(\ds 192\) | $\phi$ of $714$ | |||||||||||
\(\ds \map {\sigma_1} {714}\) | \(=\) | \(\ds 1728\) | $\sigma_1$ of $714$ | |||||||||||
\(\ds \map {\sigma_1} {714} / \map \phi {714}\) | \(=\) | \(\ds 1728 / 192\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 9\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 3^2\) |
$\blacksquare$