Write a program to input a number and print whether the number is a special number or not. (A number is said to be a special number if the sum of the factorial of the digits of the number is the same as the original number).

Java Programming Language (Article) (Program)

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Write a program to input a number and print whether the number is a special number or not. (A number is said to be a special number if the sum of the factorial of the digits of the number is the same as the original number).

Example: 145 is a special number because 1! + 4! + 5! = 1 + 24 + 120 = 145 (where ! denotes factorial of the number, and the factorial value of a number is the product of all integers from 1 to that number, e.g., 5! = 1 × 2 × 3 × 4 × 5 = 120).

Program:

import java.io.*;

class Special {

    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int n, r, f, i;
        int sum = 0;
        int originalNumber;

        System.out.println("Enter a number:");
        n = Integer.parseInt(br.readLine());
        originalNumber = n;

        while (n > 0) {
            r = n % 10; // Extract the last digit
            f = 1; // Initialize factorial
            for (i = 1; i <= r; i++) {
                f *= i; // Calculate factorial
            }
            sum += f; // Add factorial to the sum
            n /= 10; // Remove the last digit
        }

        if (sum == originalNumber) {
            System.out.println("Special number.");
        } else {
            System.out.println("Not a Special number.");
        }
    }
}

Output:


                                        

Explanation:

Table of Variables

Variable Type Description
n int The number input by the user.
originalNumber int Stores the original number for comparison.
r int Stores the current digit extracted from the number.
f int Stores the factorial of the current digit.
i int Loop variable for calculating factorial.
sum int Sum of the factorials of the digits.

This table summarizes the variables used in the program and their purposes.

  1. Input Reading:

    • Uses BufferedReader to read the input number from the user.
  2. Initialize Variables:

    • n is the number entered by the user.
    • originalNumber stores the original number for comparison later.
    • sum is used to accumulate the sum of the factorials of the digits.
  3. Calculate Factorials:

    • Extracts each digit from n using n % 10.
    • Calculates the factorial of each digit.
    • Adds the factorial value to sum.
  4. Check Special Number:

    • Compares the sum of the factorials to the originalNumber.
    • Prints whether the number is a special number or not.

Make sure you compile and run this program in a Java environment. This program will correctly identify whether a number is a special number based on the criteria provided.


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