Divisor Sum of 103,340,640

Example of Divisor Sum of Integer

 * $\map {\sigma_1} {103 \, 340 \, 640} = 350 \, 584 \, 416$

where $\sigma_1$ denotes the divisor sum function.

Proof
From Divisor Sum of Integer
 * $\ds \map {\sigma_1} n = \prod_{1 \mathop \le i \mathop \le r} \frac {p_i^{k_i + 1} - 1} {p_i - 1}$

where $n = \ds \prod_{1 \mathop \le i \mathop \le r} p_i^{k_i}$ denotes the prime decomposition of $n$.

We have that:
 * $103 \, 340 \, 640 = 2^5 \times 3 \times 5 \times 13 \times 16 \, 561$

Hence: