Magic Number Program in Java

In computer programming, the term magic number has multiple meanings. In this post, we will discuss the magic number and also develop a Java program to check the given number is a magic number or not.

A number is said to be a magic number if the sum of its digits is calculated till a single digit recursively by adding the sum of the digits after every addition. If the single-digit comes out to be 1, then the number is a magic number. Example of magic numbers are:- 10, 19, 28, 55, 1234 e.t.c.

1054 = 1 + 0 + 5 + 4 = 10 (It is 2 digit number, so again find the sum of digits)
10 = 1 + 0 = 1 (finally sum of digits is 1)
Hence 1054 is a magic number.

Similarly,
25417 = 2 + 5 + 4 + 1 + 7 = 19 (Since it is a two digit number)
19 = 1 + 9 = 10 (Again it is two digit number)
10 = 1 + 0 = 1 (finally sum of digits is 1)
Hence 25417 is a magic number.

import java.util.Scanner;

public class MagicNumber {

   // method to find sum of digits
   // of a given number
   public static int sumOfDigits(int number) {

      int sum = 0;

      while(number != 0) {
         // find last digit
         // add last digit to sum
         sum += (number % 10);

         // remove last digit
         number = number / 10;
      }

      // return sum of digits of the number
      return sum;
   }

   // method to check number is magic number
   public static boolean isMagic(int number) {

      int result = number;

      // find sum of digits until
      // number having single digit
      while(result / 10 != 0) {
        result = sumOfDigits(result);
      }

      return (result==1) ? true : false;
   }

   public static void main(String[] args) {

      // declare variables
      int number = 0;

      // read the input 
      Scanner scan =  new Scanner(System.in);
      System.out.print("Enter an integer number:: ");
      number = scan.nextInt();

      // check the number is magic number or not
      if(isMagic(number))
      System.out.println(number+" is a"
        + " magic number");
      else
      System.out.println(number+" is not a"
              + " magic number");

      // close Scanner class object
      scan.close();
   }
}

The output for the different test-cases are:-

Enter an integer number:: 28
28 is a magic number

Enter an integer number:: 12345
12345 is not a magic number

Also see:- Special number, Magic number, Armstrong number, Perfect number, Evil Number, Spy Number, Sunny number in Java

Direct approach

The Sum of digits until a single digit in Java also can be calculated by directly dividing the number by 9. If the number is divisible by 9 then it’s Sum of digits until single digit is 9 else it is number % 9

import java.util.Scanner;

public class MagicNumber {

   // method to find digital sum
   public static boolean isMagic(int number) {
      if(number%9 == 1) return true;
      else return false;
   }

  public static void main(String[] args) {

      // declare variables
      int number = 0;

      // read the input 
      Scanner scan =  new Scanner(System.in);
      System.out.print("Enter an integer number:: ");
      number = scan.nextInt();

      // check the number is magic number or not
      if(isMagic(number))
        System.out.println(number+" is a"
            + " magic number");
      else
        System.out.println(number+" is not a"
              + " magic number");

      // close Scanner class object
      scan.close();
  }
}

Java program to find all magic number in the given range

import java.util.Scanner;

public class MagicNumber {

  // method to find digital sum
  public static boolean isMagic(int number) {
      if(number%9 == 1) return true;
      else return false;
  }

  public static void main(String[] args) {

      // declare variables
      int minRange = 0;
      int maxRange = 0;

      // read the input 
      Scanner scan =  new Scanner(System.in);
      System.out.print("Enter min range:: ");
      minRange = scan.nextInt();
      System.out.print("Enter max range:: ");
      maxRange = scan.nextInt();

      // find all magic numbers
      System.out.println("The magic numbers"
          + " from "+minRange+" to "
         +maxRange+ " are: ");

      for(int i=minRange; i<maxRange; i++) {
         if(isMagic(i))
         System.out.print(i+"\t");
      }

      // close Scanner class object 
      scan.close();
   }
}

The output for the different test-cases are:-

Enter min range:: 1
Enter max range:: 100
The magic numbers from 1 to 100 are:
1 10 19 28 37 46 55 64 73 82 91

Enter min range:: 100
Enter max range:: 200
The magic numbers from 100 to 200 are:
100 109 118 127 136 145 154 163 172 181 190 199

Enter min range:: 1000
Enter max range:: 1111
The magic numbers from 1000 to 1111 are:
1000 1009 1018 1027 1036 1045 1054 1063 1072 1081 1090 1099 1108

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