Automorphic number

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, 3762 = 141376,and 8906252 = 793212890625, so 5, 6, 76, 376 and 890625 are all automorphic numbers. The terms circular and spherical were formerly used for the slightly different case of a number whose powers all have the same last digit as the number itself. 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, 3762 = 141376,and 8906252 = 793212890625, so 5, 6, 76, 376 and 890625 are all automorphic numbers. The terms circular and spherical were formerly used for the slightly different case of a number whose powers all have the same last digit as the number itself.