Cyclic Permutation of Kaprekar Number/Examples/2727

Example of Cyclic Permutation of Kaprekar Number

$2727$ is a cyclic permutation of the $4$-digit Kaprekar number $7272$.

Thus we have:

\(\ds 2727^2\)

\(=\)

\(\ds 7 \, 436 \, 529\)

\(\ds 743 + 6529\)

\(=\)

\(\ds 7272\)

and it is seen that $7272$ is a (trivial) cyclic permutation of $7272$.

$\blacksquare$

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $297$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $297$