Divisor Sum of 1925

Example of Sigma Function of Integer

 * $\map \sigma {1925} = 2976$

where $\sigma$ denotes the $\sigma$ function.

Proof
From Sigma Function of Integer: Corollary
 * $\displaystyle \map \sigma n = \prod_{\substack {1 \mathop \le i \mathop \le r \\ k_i \mathop > 1} } \frac {p_i^{k_i + 1} - 1} {p_i - 1} \prod_{\substack {1 \mathop \le i \mathop \le r \\ k_i \mathop = 1} } \paren {p_i + 1}$

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

We have that:
 * $1925 = 5^2 \times 7 \times 11$

Hence: