What is kaprekar number - Definition and Meaning

Kaprekar Number :

Consider "n" as a positive integer that has k number of digits. Find the square of the number n and separate the resulting number into two parts - right hand side with k digits and left hand side k or k-1 digits. Add these two digits and if the result is as same as "n", then "n" is a Kaprekar Number.


Formula :

n2 = A bk + B, where 0 < B < bk n = A + B

Example :

n = 999, n2 = 998001 = 998 + 001 = 999.
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