Common
Kaprekar number
Base-dependent property of integers
Kaprekar number
In mathematics, a natural number in a given number base is a p {\displaystyle p} -Kaprekar number if the representation of its square in that base can be split into two partitions with the 2nd partition being p {\displaystyle p} digits in length, that add up to the original number. For example, in base 10, 45 is a 2-Kaprekar number, because 452 = 2025, and 20 + 25 = 45. The numbers are named after D. R. Kaprekar.
Open boosters, collect cards and trade them. Free to play.
Play for free