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\begin{center}
{\Large NMU Math \& CS Department \\
\Large Problem of the Month \\
\vspace{5mm}
September 2023 }
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\vspace{1cm}

\paragraph{} Consider the process of ``rotating the digits'' of a positive integer, i.e. we move the digit that is farthest to the left, all the way over to the rightmost digit.

\paragraph{} Here's some examples:

\begin{center}
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$486 \rightarrow 864$ \\ \\
$1325 \rightarrow 3251$ \\ \\
$3323 \rightarrow 3233$ \\ \\
$49864 \rightarrow 98644$
\end{tabular}	
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\paragraph{} Show that this process can \textit{never} double a positive integer.


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