Program to Check Automorphic Number or Not

Python Program to Check Automorphic Number or Not

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In the previous article, we have discussed Python Program to Convert each Character in a String to an ASCII Value.
Automorphic Number:

An automorphic number is one whose square has the same digits as the original number. Examples: 5, 25, 76,  and so on.

Example :

let N= 6

N square = 6*6 = 36

The last digit is the same as the given number. Therefore 6 is an automorphic number.

Examples:

Example1:

Input:

Given Number = 625

Output:

The given number 625 is an Automorphic Number

Example2:

Input:

Given Number = 200

Output:

The given number 200 is not an Automorphic Number

Program to Check Automorphic Number or Not

Below are the ways to check the automorphic number or not.

Method #1: Using pow() function (Static Input)

Approach:

  • Give the number as static input and store it in a variable.
  • Covert the given number into a string using the str() function and find the length of the given number using the len() function.
  • Store it in another variable.
  • Calculate the square of the given number and store it in a variable.
  • Get the last n digits of the square number using modulus and pow() functions and store it in another variable.
  • Check if the last n digits are equal to the given input number using the if conditional statement.
  • If the statement is true, then print “The given number is an Automorphic Number”.
  • Else print “The given number is not an Automorphic Number”.
  • The Exit of the Program.

Below is the implementation:

# Give the number as static input and store it in a variable.
gvn_numbr = 6
# Covert the given number into a string using the str() function and
# find the length of the given number using the len() function.
# Store it in another variable.
lenth = len(str(gvn_numbr))
# Calculate the square of the given number and store it in a variable.
sqr_num = gvn_numbr**2
# Get the last n digits of the square number using modulus and pow() functions and
# store it in another variable.
lst_n_digits = sqr_num % pow(10, lenth)
# Check if the last n digits are equal to the given input number using the if
# conditional statement.
if lst_n_digits == gvn_numbr:
  # If the statement is true, then print "The given number is an Automorphic Number".
    print("The given number", gvn_numbr, "is an Automorphic Number")
else:
 # Else print "The given number is not an Automorphic Number".
    print("The given number", gvn_numbr, "is not an Automorphic Number")

Output:

The given number 6 is an Automorphic Number

Method #2: Using pow() function (User Input)

Approach:

  • Give the number as user input using the int(input()) function and store it in a variable.
  • Covert the given number into a string using the str() function and find the length of the given number using the len() function.
  • Store it in another variable.
  • Calculate the square of the given number and store it in a variable.
  • Get the last n digits of the square number using modulus and pow() functions and store it in another variable.
  • Check if the last n digits are equal to the given input number using the if conditional statement.
  • If the statement is true, then print “The given number is an Automorphic Number”.
  • Else print “The given number is not an Automorphic Number”.
  • The Exit of the Program.

Below is the implementation:

# Give the number as user input using the int(input()) function and store it in a variable.
gvn_numbr = int(input("Enter some random number = "))
# Covert the given number into a string using the str() function and
# find the length of the given number using the len() function.
# Store it in another variable.
lenth = len(str(gvn_numbr))
# Calculate the square of the given number and store it in a variable.
sqr_num = gvn_numbr**2
# Get the last n digits of the square number using modulus and pow() functions and
# store it in another variable.
lst_n_digits = sqr_num % pow(10, lenth)
# Check if the last n digits are equal to the given input number using the if
# conditional statement.
if lst_n_digits == gvn_numbr:
  # If the statement is true, then print "The given number is an Automorphic Number".
    print("The given number", gvn_numbr, "is an Automorphic Number")
else:
 # Else print "The given number is not an Automorphic Number".
    print("The given number", gvn_numbr, "is not an Automorphic Number")

Output:

Enter some random number = 25
The given number 25 is an Automorphic Number

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