Cyclic Permutation of Kaprekar Number/Examples/972

Example of Cyclic Permutation of Kaprekar Number

$972$ is a cyclic permutation of the $3$-digit Kaprekar number $297$.

Thus we have:

$\ds 972^2$

$=$

$\ds 944 \, 784$

$\ds 944 + 784$

$=$

$\ds 1728$

$\ds 1 + 728$

$=$

$\ds 729$

and it is seen that $729$ is another cyclic permutation of $297$.

$\blacksquare$

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