Divisor Sum of 294,896
Jump to navigation
Jump to search
Example of Divisor Sum of Integer
- $\map {\sigma_1} {294 \, 896} = 653 \, 232$
where $\sigma_1$ denotes the divisor sum function.
Proof
We have that:
- $294 \, 896 = 2^4 \times 7 \times 2633$
Hence:
\(\ds \map {\sigma_1} {294 \, 896}\) | \(=\) | \(\ds \frac {2^5 - 1} {2 - 1} \times \paren {7 + 1} \times \paren {2633 + 1}\) | Divisor Sum of Integer | |||||||||||
\(\ds \) | \(=\) | \(\ds 31 \times 8 \times 2634\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 31 \times 2^3 \times \paren {2 \times 3 \times 439}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 2^4 \times 3 \times 31 \times 439\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 653 \, 232\) |
$\blacksquare$