Charming numbers can be defined as a number that is multiplied by 2 and 3 and then concatenated with the number itself. The result contains all numbers from 1 to 9.
To make a number a fascinating number, it should be three digits or more.
Enter the number as 327
Let’s check it out using the logic of charming numbers -
327 * 2 = 654 327 * 3 = 981
Connect "654" "981" "327" = 654981327
So, 327 is a fascinating number.
Enter the number as 192
Let’s check it out using the logic of charming numbers -
192 * 2 = 384 192 * 3 = 576
Connect "384" "576" "192" = 384576192
So, 327 is a fascinating number.
Enter the number as 241
Let’s check it out using the logic of charming numbers -
241 * 2 = 482 241 * 3 = 723
Connect "482" "723" "241" = 482723241
Therefore, 241 is not a fascinating number
Some other fascinating number examples include 192, 1920, 2019, 327, etc.
Step 1 - Get an integer via initialization or user input.
Step 2 - Check if this is a three digit number.
Step 3 - Multiply the numbers by 2 and 3.
Step 4 - Connect the two products with the number itself.
Step 5 - Now find if all digits from 1 to 9 are present in the number. If it does, it would be a fascinating number
We provide solutions in different ways.
By using static input values
By using user-defined methods
Let’s look at the program and its output one by one.
In this method, an integer value is initialized in the program and then by using an algorithm we can check whether a number is a charming number or not.
public class Main { public static void main(String args[]){ // Initialized an integer value int num = 327; System.out.println("Given number: "+num); // Store the product of the numbers in the variables int prod1 = num*2; int prod2 = num*3; // Concatenate the numbers String concatNum = prod1+""+prod2+num; // Boolean value to store the result boolean flag = true; // Loops from 1 to 9 for(char c = '1'; c <= '9'; c++) { // COunt holds the number of times a digit occurs int count = 0; //loop counts the frequency of each digit for(int i = 0; i < concatNum.length(); i++) { char ch = concatNum.charAt(i); //compares the character of concatNum with i if(ch == c) //increments the count by 1 if the specified condition returns true count++; } // Checks if all the digits are present in the number if(count > 1 || count == 0) { flag = false; break; } } // Prints the result if(flag) System.out.println("Fascinating number"); else System.out.println("Not a fascinating number"); } }
Given number: 327 Fascinating number
In this method, an integer value is initialized in the program and the number is passed as parameter to the user-defined method, then using an algorithm in the method we can check whether a number is a charmed number or not.
public class Mai { static boolean fascinatingNum(int num){ // Store the product of the numbers in the variables int prod1 = num*2; int prod2 = num*3; // Concatenate the numbers String concatNum = prod1+""+prod2+num; // Boolean value to store the result boolean flag = true; // Loops from 1 to 9 for(char c = '1'; c <= '9'; c++) { // COunt holds the number of times a digit occurs int count = 0; //loop counts the frequency of each digit for(int i = 0; i < concatNum.length(); i++){ char ch = concatNum.charAt(i); //compares the character of concatNum with i if(ch == c) //increments the count by 1 if the specified condition returns true count++; } // Checks if all the digits are present in the number if(count > 1 || count == 0) { flag = false; break; } } return flag; } public static void main(String args[]){ // Initialized an integer value int num = 327; System.out.println("Given number: "+num); // Calls the user defined method and stores the result in res variable boolean res = fascinatingNum(num); // Prints the result if(res) System.out.println("Fascinating number"); else System.out.println("Not a fascinating number"); } }
Given number: 327 Fascinating number
In this article, we explored how to check if a number is an interesting number in Java using different methods.
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