Dewey Decimal Classification for Number Theory

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The Dewey decimal classification for number theory used to be $512 \cdotp 81$.

Thus we have:

\(\ds 512\) \(=\) \(\ds 2^9\)
\(\ds 81\) \(=\) \(\ds 9^2\)

Unfortunately, since $1967$ it was changed to $512 \cdotp 73$, which needs some ingenious manipulation to demonstrate its numerological significance.