Definition:Kaprekar Number/Examples
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Examples of Kaprekar Numbers
$142 \, 857$ is Kaprekar
| \(\ds 142 \, 857^2\) | \(=\) | \(\ds 20 \, 408 \, 122 \, 449\) | ||||||||||||
| \(\ds 20 \, 408 + 122 \, 449\) | \(=\) | \(\ds 142 \, 857\) |
$1 \, 111 \, 111 \, 111$ is Kaprekar
| \(\ds 1 \, 111 \, 111 \, 111^2\) | \(=\) | \(\ds 1 \, 234 \, 567 \, 900 \, 987 \, 654 \, 321\) | ||||||||||||
| \(\ds 123 \, 456 \, 790 + 0 \, 987 \, 654 \, 321\) | \(=\) | \(\ds 1 \, 111 \, 111 \, 111\) |
$22 \, 222 \, 222 \, 222 \, 222$ is Kaprekar
| \(\ds 22 \, 222 \, 222 \, 222 \, 222^2\) | \(=\) | \(\ds 493 \, 827 \, 160 \, 493 \, 817 \, 283 \, 950 \, 617 \, 284\) | ||||||||||||
| \(\ds 4 \, 938 \, 271 \, 604 \, 938 + 17 \, 283 \, 950 \, 617 \, 284\) | \(=\) | \(\ds 22 \, 222 \, 222 \, 222 \, 222\) |