Special Number in JAVA

Special Number

Special Number : A number is said to be Special Number if the sum of factorial of its digits is equal to the number itself. 

Example : 145 is a Special Number.
Sum of factorial of digits : 1! + 4!+ 5! = 1 + 24 + 120 = 145 

Input     : 145
Output  : It is a Special Number

Input     : 220
Output  : It is not a Special Number

Algorithm and Program given below :-

Algorithm :- 

  • Input a number
  • Store it in another variable
  • Now using while loop extract last digit of the number
  • Than by using for loop store the factorial of the digit
  • Than in another variable store the sum of factorial
  • initialize sum variable =1 again
  • update the value of number by storing it without its last digit
  • After the condition satifies completely
  • Compare the original number with the sum of factorial of digits
  • If both are equal than display "It is a special number"
  • Else display "It is not a special number

Program :-

import java.io.*;
import java.util.*;
class Special
{
    public static void main(String args[])
    {
        Scanner in = new Scanner(System.in);
        int n,p,i,num,sum=1,s=0;
        System.out.println("Enter Number ");
        n= in.nextInt();
//Input Number
        p=n;
// Storing the input number
        while(n>0)
        {
            num=n%10;
// extracting last digit of the number
            for(i=num;i>=1;i--)
            {
                sum=sum*i;
//storing factorial of the extracted digit
            }
            s= s+sum;
// storing the sum of factorials
            sum=1;
//again initializing sum=1
            n=n/10;
// updating value of the number by storing it without its last digit.
        }
        if(s==p)
// comparing sum of factorial with original number
        {
            System.out.println("It is a Special Number : "+p);
        }
        else
        {
            System.out.println("It is not a Special Number : "+p);
        }
    }
// end of main method
}
// end of class 


Program Video : Watch now






All the Best :)
Keep Learning :)

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