Divisor Sum of 62
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Example of Divisor Sum of Non-Square Semiprime
- $\map {\sigma_1} {62} = 96$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $62 = 2 \times 31$
and so by definition is a semiprime whose prime factors are distinct.
Hence:
\(\ds \map {\sigma_1} {62}\) | \(=\) | \(\ds \paren {2 + 1} \paren {31 + 1}\) | Divisor Sum of Non-Square Semiprime | |||||||||||
\(\ds \) | \(=\) | \(\ds 3 \times 32\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 96\) |
$\blacksquare$