\begin{definition}[Definition:Inconsummate Number]
Let $m \in \Z_{>0}$ be a positive integer.
Let $s_{10}$ denote the digit sum base $10$  .
$m$ is an '''inconsummate number''' {{iff}}:
:$\nexists n \in \Z_{>0}: n = m \times s_{10} \left({n}\right)$
That is, {{iff}} there exists no positive integer $n \in \Z_{>0}$ such that $n$ equals $m$ multiplied by the digit sum of $n$.
\end{definition}