Let $N$ be a positive integer and let $N$ be split into $k$ equal parts, $r=N/k$, so that $N=r+r+\cdots +r$.
Let $P$ be the product of these parts, $P=r\times r\times \cdots \times r=r^k$.

For example, if $11$ is split into five equal parts, $11=2.2+2.2+2.2+2.2+2.2$, then $P={2.2}^5=51.53632$.

Let $M(N)=P_{\max }$ for a given value of $N$.

It turns out that the maximum for $N=11$ is found by splitting eleven into four equal parts which leads to $P_{\max }=(11/4{)}^4$; that is, $M(11)=14641/256=57.19140625$, which is a terminating decimal.

However, for $N=8$ the maximum is achieved by splitting it into three equal parts, so $M(8)=512/27$, which is a non-terminating decimal.

Let $D(N)=N$ if $M(N)$ is a non-terminating decimal and $D(N)=-N$ if $M(N)$ is a terminating decimal.

For example, $\sum _{N=5}^{100}D(N)$ is $2438$.

Find $\sum _{N=5}^{10000}D(N)$.