Divisor Sum of 104
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Example of Divisor Sum of Integer
- $\map {\sigma_1} {104} = 210$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $104 = 2^3 \times 13$
Hence:
\(\ds \map {\sigma_1} {104}\) | \(=\) | \(\ds \frac {2^4 - 1} {2 - 1} \times \frac {13^2 - 1} {13 - 1}\) | Divisor Sum of Integer | |||||||||||
\(\ds \) | \(=\) | \(\ds \frac {16 - 1} 1 \times \frac {169 - 1} {12}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 15 \times 14\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 210\) |
$\blacksquare$