Python Program to Generate Automorphic (Cyclic) Numbers
This python program generates Automorphic numbers in an interval given by user. Automorphic number is also known as Cyclic number.
A number is called Automorphic or Cyclic number if and only if its square ends in the same digits as the number itself.
Automorphic or Cyclic Number Examples: 52 = 25, 62 = 36, 762 = 5776, 3762 = 141376
Python Source Code: Generate Automorphic (Cyclic) Numbers
# Generate Perfect numbers in interval # Function to Check Automorphic def is_automorphic(n): square = n * n while n: square_remainder = square%10 number_remainder = n%10 if square_remainder != number_remainder: return False n //= 10 square //= 10 return True # Reading interval from user min_value = int(input('Enter minimum value: ')) max_value = int(input('Enter maximum value: ')) # Looping & displaying if it is Automorphic # Here min_vale & max_value are included print('Automorphic numbers from %d to %d are:' %(min_value, max_value)) for i in range(min_value, max_value+1): if is_automorphic(i): print(i, end=' ')
Automorphic Generation: Output
Enter minimum value: -100 Enter maximum value: 10000 Automorphic numbers from -100 to 10000 are: 0 1 5 6 25 76 376 625 9376
Automorphic Generation: Code Explanation
We first read min_value and max_value from user. Function
is_automorphic() is used to check whether a given number is Automorphic or not. We loop from
max_value and pass each number to
is_automorphic() function. If this function returns
True, then we print it.