# Hectagon Number

Given a number N, the task is to find Nth hectagon number.

A hectagon number is class of figurate number. It has 100 – sided polygon called hectagon. The N-th hectagon number count’s the 100 number of dots and all others dots are surrounding with a common sharing corner and make a pattern. The first few hectagonol numbers are 1, 100, 297, 592 …

Examples:

Input: N = 2
Output: 100
Explanation:
The second hectagonol number is 100.

Input: N = 3
Output: 297

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach: The N-th hectagon number is given by the formula:

• Nth term of s sided polygon = • Therefore Nth term of 100 sided polygon is Below is the implementation of the above approach:

## C++

 // C++ program for above approach  #include  using namespace std;     // Finding the nth hectagon Number  int hectagonNum(int n)  {      return (98 * n * n - 96 * n) / 2;  }     // Driver Code  int main()  {      int n = 3;      cout << "3rd hectagon Number is = "           << hectagonNum(n);         return 0;  }     // This code is contributed by shivanisinghss2110

## C

 // C program for above approach  #include  #include     // Finding the nth hectagon Number  int hectagonNum(int n)  {      return (98 * n * n - 96 * n) / 2;  }     // Driver program to test above function  int main()  {      int n = 3;      printf("3rd hectagon Number is = %d",             hectagonNum(n));         return 0;  }

## Java

 // Java program for above approach  import java.util.*;  class GFG{     // Finding the nth hectagon Number  static int hectagonNum(int n)  {      return (98 * n * n - 96 * n) / 2;  }     // Driver Code  public static void main(String args[])  {      int n = 3;      System.out.print("3rd hectagon Number is = " +                                    hectagonNum(n));  }  }     // This code is contributed by Akanksha_Rai

## Python3

 # Python3 program for above approach      # Finding the nth hectagon number   def hectagonNum(n):          return (98 * n * n - 96 * n) // 2    # Driver code  n = 3 print("3rd hectagon Number is = ",                      hectagonNum(n))      # This code is contributed by divyamohan123

## C#

 // C# program for above approach  using System;  class GFG{     // Finding the nth hectagon Number  static int hectagonNum(int n)  {      return (98 * n * n - 96 * n) / 2;  }     // Driver Code  public static void Main()  {      int n = 3;      Console.Write("3rd hectagon Number is = " +                                 hectagonNum(n));  }  }     // This code is contributed by Akanksha_Rai

Output:

3rd hectagon Number is = 297


Reference: https://en.wiktionary.org/wiki/hectagon

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