Divisor Sum of 358,336
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Example of Divisor Sum of Integer
- $\map {\sigma_1} {358 \, 336} = 777 \, 240$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $358 \, 336 = 2^6 \times 11 \times 509$
Hence:
\(\ds \map {\sigma_1} {358 \, 336}\) | \(=\) | \(\ds \frac {2^7 - 1} {2 - 1} \times \paren {11 + 1} \times \paren {509 + 1}\) | Divisor Sum of Integer | |||||||||||
\(\ds \) | \(=\) | \(\ds 127 \times 12 \times 510\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 127 \times \paren {2^2 \times 3} \times \paren {2 \times 3 \times 5 \times 17}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 2^3 \times 3^2 \times 5 \times 17 \times 127\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 777 \, 240\) |
$\blacksquare$