Divisor Sum of 272
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Example of Divisor Sum of Integer
- $\map {\sigma_1} {272} = 558$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $272 = 2^4 \times 17$
Hence:
\(\ds \map {\sigma_1} {272}\) | \(=\) | \(\ds \frac {2^5 - 1} {2 - 1} \times \frac {17^2 - 1} {17 - 1}\) | Divisor Sum of Integer | |||||||||||
\(\ds \) | \(=\) | \(\ds \frac {31 - 1} 1 \times \frac {289 - 1} {16}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 31 \times 18\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds \paren {2 \times 3^2} \times 31\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 558\) |
$\blacksquare$