Let be a -digit integer in base . Then is said to be a Kaprekar number in base if has the following property: when you add the number formed by its right hand digits to that formed by its left hand digits, you get .
Or to put it algebraically, an integer such that in a given base has
(where are digits, with the least significant digit and the most significant) such that
if is even or
if is odd.
for a natural is always a Kaprekar number in base .
- 1 D. R. Kaprekar, “On Kaprekar numbers” J. Rec. Math. 13 (1980-1981), 81 - 82.
|Date of creation||2013-03-22 16:00:17|
|Last modified on||2013-03-22 16:00:17|
|Last modified by||PrimeFan (13766)|