Pronic Number Program in Java

In this post we will learn about the pronic number program in java. In this post I will be sharing what is pronic number, algorithm , java program  and points to remember about pronic number.

What is Pronic Number

A pronic number is a number which is represented by the product of two consecutive numbers , that is a number of the form "n x (n+1)". They are also called rectangular numbers, oblong numbers and heteromecic numbers.

Examples :

Number to check : 12
3 x 4 = 12  // 12 is a pronic number
 
Number to check : 20 
4 x 5 = 20  // 20 is a pronic number
 
Number to check : 30 
5 x 6 = 30  // 30 is a pronic number   
 
Number to check : 48
6 x 8 = 48  // 48 is not a pronic number  

Pronic numbers upto 100 are : 0, 2, 6, 12, 20, 30, 42, 56, 72, 90 etc.

Read Also :  Happy Number Program in Java

Algorithm to find Pronic Number

1. Check number N is pronic or not.
2. Calculate the square root K of the given number N.
3. Multiply K * (K+1), if result is equal to the  number N, then N is a pronic number otherwise not.

Java Program to find Pronic Number


import java.util.*;
public class JavaHungry { 
 
    public static void main(String args[]) { 
        
        System.out.println("Enter input number ");
        Scanner sc = new Scanner(System.in);
        int inputNumber = sc.nextInt();        
        int sqrtNum = (int) Math.sqrt(inputNumber);
        int product = sqrtNum * (sqrtNum + 1);
        if (product == inputNumber)
            System.out.println("Pronic Number");
        else
            System.out.println("Not a Pronic Number"); 
 
   }
}

Output :
Enter input number : 12
Pronic Number
 

Points to Remember :

1.  According to Wikipedia, all pronic numbers are even. 2 is the only prime pronic number.

2.  If number 25 is appended to the decimal representation of any pronic number, the outcome will always be a square number.

Examples : 
625 = 252     // 6 is a pronic number , 25 appended = 625 is a square number.
1225 = 352  // 12 is a pronic number , 25 appended = 1225 is a square number.

That's all for today, please mention in comments if you know any other way to check pronic number in java.

About The Author

Subham Mittal has worked in Oracle for 3 years .
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