Rectangular (or Pronic) Numbers

Difficulty Level : Easy
Last Updated : 24 Mar, 2021

The numbers that can be arranged to form a rectangle are called Rectangular Numbers (also known as Pronic numbers). The first few rectangular numbers are:
0, 2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, 156, 182, 210, 240, 272, 306, 342, 380, 420, 462 . . . . . .
Given a number n, find n-th rectangular number.
Examples:

Input : 1
Output : 2

Input : 4
Output : 20

Input : 5
Output : 30

The number 2 is a rectangular number because it is 1 row by 2 columns. The number 6 is a rectangular number because it is 2 rows by 3 columns, and the number 12 is a rectangular number because it is 3 rows by 4 columns.
If we observe these numbers carefully, we can notice that n-th rectangular number is n(n+1).

C++

// CPP Program to find n-th rectangular number
#include <bits/stdc++.h>
using namespace std;
 
// Returns n-th rectangular number
int findRectNum(int n)
{
    return n * (n + 1);
}
 
// Driver code
int main()
{
    int n = 6;
    cout << findRectNum(n);
    return 0;
}

Java

// Java Program to find n-th rectangular number
import java.io.*;
 
class GFG {
 
    // Returns n-th rectangular number
    static int findRectNum(int n)
    {
        return n * (n + 1);
    }
 
    // Driver code
    public static void main(String[] args)
    {
        int n = 6;
        System.out.println(findRectNum(n));
    }
}
 
// This code is contributed by vt_m.

C#

// C# Program to find n-th rectangular number
 
using System;
 
class GFG {
 
    // Returns n-th rectangular number
    static int findRectNum(int n)
    {
        return n * (n + 1);
    }
 
    // Driver code
    public static void Main()
    {
        int n = 6;
        Console.Write(findRectNum(n));
    }
}
 
// This code is contributed by vt_m.

Python

# Python3 Program to find n-th rectangular number
 
# Returns n-th rectangular number
def findRectNum(n):
    return n*(n + 1)
 
# Driver code
n = 6
print (findRectNum(n))
 
# This code is contributed by Shreyanshi Arun.

PHP

<?php
// PHP Program to find n-th
// rectangular number
 
// Returns n-th rectangular
// number
function findRectNum($n)
{
    return $n * ($n + 1);
}
 
    // Driver Code
    $n = 6;
    echo findRectNum($n);
     
// This code is contributed by ajit
?>

Javascript

<script>
 
// Javascript Program to find n-th rectangular number
 
// Returns n-th rectangular number
function findRectNum(n)
{
    return n * (n + 1);
}
 
// Driver code
var n = 6;
document.write(findRectNum(n));
 
// This code is contributed by noob2000.
</script>

Output:

Check if a given number is Pronic | Efficient Approach
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