Divisor Sum of 362
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Example of Divisor Sum of Non-Square Semiprime
- $\map {\sigma_1} {362} = 546$
Proof
We have that:
- $362 = 2 \times 181$
and so by definition is a semiprime whose prime factors are distinct.
Hence:
\(\ds \map {\sigma_1} {362}\) | \(=\) | \(\ds \paren {2 + 1} \paren {181 + 1}\) | Divisor Sum of Non-Square Semiprime | |||||||||||
\(\ds \) | \(=\) | \(\ds 3 \times 182\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 3 \times \paren {2 \times 7 \times 13}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 546\) |
$\blacksquare$