Divisor Sum of 274,924
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Example of Divisor Sum of Integer
- $\map {\sigma_1} {274 \, 924} = 550 \, 368$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $274 \, 924 = 2^2 \times 13 \times 17 \times 311$
Hence:
\(\ds \map {\sigma_1} {274 \, 924}\) | \(=\) | \(\ds \frac {2^3 - 1} {2 - 1} \times \paren {13 + 1} \times \paren {17 + 1} \times \paren {311 + 1}\) | Divisor Sum of Integer | |||||||||||
\(\ds \) | \(=\) | \(\ds 7 \times 14 \times 18 \times 312\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 7 \times \paren {2 \times 7} \times \paren {2 \times 3^2} \times \paren {2^3 \times 3 \times 13}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 2^5 \times 3^3 \times 7^2 \times 13\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 550 \, 368\) |
$\blacksquare$