ITOT 44 Spring 2023 · THCS · O (Basic) Question 4

For any real $x$, define $Q(x)=\lfloor x\rfloor+\lfloor x/2\rfloor+\lfloor x/3\rfloor+\cdots+\lfloor x/10000\rfloor$. Find $Q(2023)-Q(2022)$. Here $\lfloor x\rfloor$ is the greatest integer not exceeding $x$.