# Hexacontagon Number

• Last Updated : 23 Jun, 2021

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

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

## Javascript

 

Output:

3rd hexacontagon Number is = 177

Time Complexity: O(1)

Auxiliary Space: O(1)

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