Special number is also known as Krishnamurthy number and Strong number.
Read Also : Happy Number Program in Java
What is Special Number
A number is known as Special number when sum of the factorial of digits is equal to the original number (given number).Examples:
Below are examples of numbers which are Special
Number to check : 145
1! + 4! + 5! = 1 + 24 + 120 = 145 // 145 is a Special Number
Number to check : 2
2! = 2 = 2 // 2 is a Special Number
Below are examples of numbers which are NOT Special number
Number to check : 35
3! + 5! = 6 + 120 = 126 // 35 is NOT a Special Number
Number to check : 105
1! + 0! + 5! = 1 + 1 + 120 = 122 // 105 is NOT a Special Number
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Java Program for Special Number
import java.util.*;
public class JavaHungry {
public static void main(String args[]) {
System.out.println("Enter any number : ");
Scanner scan = new Scanner(System.in);
int inputNumber = scan.nextInt();
boolean result = specialnumber(inputNumber);
if (result == true)
System.out.println(inputNumber + " is a Special number");
if (result == false)
System.out.println(inputNumber + " is NOT a Special number");
}
public static boolean specialnumber(int inputNumber) {
// Create a copy of the inputNumber int temp = inputNumber;
// Initialize sumOfDigits of inputNumber
int sumOfDigits = 0;
/* Calculate the sum of factorial of digits */ while (temp != 0) {
// Get the rightmost digit int currentDigit = temp % 10;
sumOfDigits = sumOfDigits + factorial(currentDigit);
temp = temp/10;
}
/* If sumOfDigits is equal to inputNumber then
the number is Special, otherwise not */
return (sumOfDigits == inputNumber);
}
public static int factorial(int number) {
if (number == 1 || number == 0)
return 1;
else
return (number * factorial(number -1));
}
}
Output :
Enter any number : 145
145 is a Special number
Algorithm for Special Number
1. Create a copy of the inputNumber (original number) by storing its value in variable temp.2. Initialize sumOfDigits variable value to 0. It will represent the sum of factorial of digits.
3. Using while loop
a. Get the rightmost digit of variable temp by using (temp %10). Store its value in variable currentDigit.
b. Calculate the factorial of the currentDigit .
c. add the value of factorial method to sumOfDigits variable.
4. Check whether the variable sumOfDigits is equal to inputNumber (original number).
a. If both are equal then the inputNumber is Special.
b. Otherwise, the inputNumber is not a Special number.
That's all for the day, please mention in comments if you know any other way to implement Special number program in java.
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