Divisor Sum of Non-Square Semiprime/Examples/35
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Example of Divisor Sum of Non-Square Semiprime
- $\map {\sigma_1} {35} = 48$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $35 = 5 \times 7$
and so by definition is a semiprime whose prime factors are distinct.
Hence:
\(\ds \map {\sigma_1} {35}\) | \(=\) | \(\ds \paren {5 + 1} \paren {7 + 1}\) | Divisor Sum of Non-Square Semiprime | |||||||||||
\(\ds \) | \(=\) | \(\ds 6 \times 8\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 48\) |
$\blacksquare$