# Generalised Divisor Function

**Number Theory**Level 5

\[\large A = \sum _{k=1}^{\infty }\dfrac{M_{10}(k)}{k^3}\]

Given that \(M_{n}(k)\) is the sum of all divisors of \(k\) that is greater than \(n\), find \(\left\lfloor 10000A \right\rfloor\).

\[\] **Notation**: \( \lfloor \cdot \rfloor \) denotes the floor function.