Tuesday 9 August 2016

Automorphic Numbers

Automorphic Numbers
In mathematics an automorphic number (sometimes referred to as a circular number) is a number whose square "ends" in the same digits as the number itself. For example, 52 = 25, 62 = 36, 762 = 5776, and 8906252 = 793212890625, so 5, 6, 76 and 890625 are all automorphic numbers. The only automorphic Kaprekar number is 1, because the square of a Kaprekar number cannot start with zero.
The sequence of automorphic numbers begins 1562576376625, 9376, ... (sequence A003226 in the OEIS).