# Hexacontagon Number

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

A Hexacontagon number is class of figurate number. It has 60 – sided polygon called hexacontagon. The N-th hexacontagon number count’s the 60 number of dots and all others dots are surrounding with a common sharing corner and make a pattern. The first few hexacontagonol numbers are 1, 60, 177, 352 …

Examples:

Input: N = 2
Output: 60
Explanation:
The second hexacontagonol number is 60.

Input: N = 3
Output: 177

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

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

• Nth term of s sided polygon = • Therefore Nth term of 60 sided polygon is Below is the implementation of the above approach:

## C++

 // C++ program for above approach  #include  using namespace std;     // Finding the nth hexacontagon number  int hexacontagonNum(int n)  {      return (58 * n * n - 56 * n) / 2;  }     // Driver code  int main()  {      int n = 3;      cout << "3rd hexacontagon Number is = "           << hexacontagonNum(n);         return 0;  }     // This code is contributed by shubhamsingh10

## C

 // C program for above approach  #include  #include     // Finding the nth hexacontagon Number  int hexacontagonNum(int n)  {      return (58 * n * n - 56 * n) / 2;  }     // Driver program to test above function  int main()  {      int n = 3;      printf("3rd hexacontagon Number is = %d",             hexacontagonNum(n));         return 0;  }

## Java

 // Java program for above approach   class GFG{         // Finding the nth hexacontagon number   public static int hexacontagonNum(int n)   {       return (58 * n * n - 56 * n) / 2;   }      // Driver code  public static void main(String[] args)   {      int n = 3;      System.out.println("3rd hexacontagon Number is = " +                                       hexacontagonNum(n));  }  }     // This code is contributed by divyeshrabadiya07

## Python3

 # Python3 program for above approach      # Finding the nth hexacontagon Number   def hexacontagonNum(n):          return (58 * n * n - 56 * n) // 2    # Driver Code  n = 3 print("3rd hexacontagon Number is = ",                     hexacontagonNum(n));      # This code is contributed by divyamohan123

## C#

 // C# program for above approach   using System;     class GFG{         // Finding the nth hexacontagon number   public static int hexacontagonNum(int n)   {       return (58 * n * n - 56 * n) / 2;   }      // Driver code  public static void Main()   {      int n = 3;      Console.Write("3rd hexacontagon Number is = " +                                  hexacontagonNum(n));  }  }     // This code is contributed by Code_Mech

Output:

3rd hexacontagon Number is = 177


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