Category:Kaprekar Numbers

This category contains results about Kaprekar Numbers.
Definitions specific to this category can be found in Definitions/Kaprekar Numbers.

Let $n \in \Z_{>0}$ be a (strictly) positive integer.

Suppose that $n^2$, when expressed in number base $b$, can be split into two parts that add up to $n$.

Then $n$ is a Kaprekar number for base $b$.