In the previous article, we have discussed Java Program to Check Goldbach Number
In this article we are going to understand what Automorphic number is and how we can check whether a number is Automorphic or not in Java with examples.
Java Program to Check Automorphic Number
Automorphic numbers are numbers whose square contains the same digits in the same order as the number itself i.e. the square of the number has the number at its end.
Example: 5 -> (5)2 = 25 Automorphic number 6 -> (6)2 = 36 Automorphic number 9 -> (9)2 = 81 Not an Automorphic number
In the above examples the number 5 and 6 square is 25 and 36 respectively. The last digits of both the squares are the number itself, hence they are Automorphic number. However, the square of 9 is 81, which does not contain 9 at its end. Hence 9 is not Automorphic.
Let’s see different ways do it.
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Approach:
- We ask the user to enter a number which we store in an integer variable
num
. - We then use a while loop to count the number of digits in the number and store it in
dig
. - The number entered by the user is then squared and stored in
squaredNum
. - The number is then divided by
10^dig
and the remainder is stored insquaredNumRemainder
and is compared against the number. - If both of them are same it is said to be an Automorphic number or else it is not.
Method-1: Java Program to Check Automorphic Number By Using Static Value
import java.util.Scanner; import java.lang.Math; public class AutomorphicNumber { public static void main(String args[]) { //A Number is declared int num = 6; int squaredNum, temp, squaredNumRemainder, dig = 0; //Storing the number in a temporary variable to preserve original value temp = num; //Loop that counts the number of digits in a number while(temp>0) { temp = temp / 10; dig++; } //Finding the square of the number by using library function Math.pow() squaredNum = (int)Math.pow(num,2); squaredNumRemainder = squaredNum%(int)Math.pow(10, dig); if(squaredNumRemainder==num) { System.out.print(num+" is an Automorphic number"); } else System.out.print(num+" is not an Automorphic number"); } }
Output: 6 is an Automorphic number
Method-2: Java Program to Check Automorphic Number By Using User Input Value
import java.util.Scanner; import java.lang.Math; public class AutomorphicNumber { public static void main(String args[]) { //Taking the number as input from the user using scanner class Scanner scan = new Scanner(System.in); System.out.print("Enter a number :"); int num = scan.nextInt(); int squaredNum, temp, squaredNumRemainder, dig = 0; //Storing the number in a temporary variable to preserve original value temp = num; //Loop that counts the number of digits in a number while(temp>0) { temp = temp / 10; dig++; } //Finding the square of the number by using library function Math.pow() squaredNum = (int)Math.pow(num,2); squaredNumRemainder = squaredNum%(int)Math.pow(10, dig); if(squaredNumRemainder==num) { System.out.print(num+" is an Automorphic number"); } else System.out.print(num+" is not an Automorphic number"); } }
Output: Enter a number : 6 6 is an Automorphic number
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