Divisor Sum of Non-Square Semiprime/Examples/33
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Example of Divisor Sum of Non-Square Semiprime
- $\map {\sigma_1} {33} = 48$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $33 = 3 \times 11$
and so by definition is a semiprime whose prime factors are distinct.
Hence:
| \(\ds \map {\sigma_1} {33}\) | \(=\) | \(\ds \paren {3 + 1} \paren {11 + 1}\) | Divisor Sum of Non-Square Semiprime | |||||||||||
| \(\ds \) | \(=\) | \(\ds 4 \times 12\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 48\) |
$\blacksquare$