Automorphic Number


Automorphic number or circular number is a number whose square ends in the same digits as the number itself.

For example,
\[5^2 = 2\boldsymbol{5}\\
6^2 = 3\boldsymbol{6}\\
76^2 = 57\boldsymbol{76}\\
890625^2 = 793212\boldsymbol{890625}\\
7109376^2 = 5054322\boldsymbol{7109376}\]
So, \(5, 6, 76, 890625, 7109376\) are all automorphic numbers.

Below is a program to print automorphic numbers from \(1\) to \(n\):

Executing the program:
$ gcc -o p automorphic_no.c -lm
$ ./p
Enter n: 9999999
Automorphic numbers from 1 to 9999999 are
1, 5, 6, 25, 76, 376, 625, 9376, 90625, 109376, 890625, 2890625, 7109376,
If you've found any errors or want to give a feedback then comment below.


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