Kaprekar Number Checker

Kaprekar Number Checker is a free online tool used to check if the number is a Kaprekar number.

A natural number is a Kaprekar number for a given base, called as p-Kaprekar number if the square of the number in that base can be split into two parts where the second part has p digits, and the sum of the two parts result is equal to the original number. None of the two parts should have the value of 0. These are named after D. R. Kaprekar.

For example, to find whether 55 is a Kaprekar number?

55² = 3025

30 + 25 = 55

So, 55 is a Kaprekar number. The second part has 2 digits, it’s also called as 2-Kaprekar number.

There are at least 2 steps to determine whether a number is a Kaprekar number:

For example, Is 45 a Kaprekar number?

First, calculate the square of 45

45² = 2025

Second, split the squared value into two parts. By observation, 2025 can be divided into 20 and 25, then 20 + 25 = 45.

Obviously, 45 is a 2-Kaprekar number.

First 50 Kaprekar numbers

The procedure to use the Kaprekar number checker is as follows: