Divisor Sum of Non-Square Semiprime/Examples/58
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Example of Divisor Sum of Non-Square Semiprime
- $\map {\sigma_1} {58} = 90$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $58 = 2 \times 29$
and so by definition is a semiprime whose prime factors are distinct.
Hence:
| \(\ds \map {\sigma_1} {58}\) | \(=\) | \(\ds \paren {2 + 1} \paren {29 + 1}\) | Divisor Sum of Non-Square Semiprime | |||||||||||
| \(\ds \) | \(=\) | \(\ds 3 \times 30\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 90\) |
$\blacksquare$