using System;
using System.Text;
using System.Linq;
using System.Collections;
using System.Collections.Generic;
using static System.Console;
using static System.Math;

namespace AtCoder
{
    public class Program
    {
        public static void Main(string[] args)
        {
            new Program().Solve(new ConsoleInput(Console.In,' '));
        }

        public void Solve(ConsoleInput cin)
        {     
            //ABC 162 C - Sum of gcd of Tuples (Easy)
            var K = cin.ReadInt;
            long sum = 0;
            for (int i = 1; i <= K; i++)
            {
                for (int j = 1; j <= K; j++)
                {
                    var gcdAB = Gcd(i,j);
                    for (int k = 1; k <= K; k++)
                    {
                        //Console.WriteLine("{0} {1} {2} :{3}", i, j, k, CalGcd(i, j, k));
                        sum += Gcd(gcdAB ,k);
                    }
                }
            }
            Console.WriteLine(sum);
        }
        public int CalGcd(int a,int b,int c) 
        {
            int min = Math.Min(a, Math.Min(b, c));
            Console.WriteLine("min:{0}", min);
            int result = 1;
            for (int i = min; i > 0; i--)
            {
                //Console.WriteLine("i:{0} {1} {2} {3}", i,a%i,b%i,c%i);
                if (a%i == 0 && b%i == 0 && c%i == 0) 
                {
                    result = i;
                    break;
                }
            }
            return result;
        }
        public int CalGcd(int a, int b)
        {
            int min = Math.Min(a, b);
            Console.WriteLine("min:{0}", min);
            int result = 1;
            for (int i = min; i > 0; i--)
            {
                //Console.WriteLine("i:{0} {1} {2} {3}", i,a%i,b%i,c%i);
                if (a % i == 0 && b % i == 0)
                {
                    result = i;
                    break;
                }
            }
            return result;
        }
        // ユークリッドの互除法 
        public static int Gcd(int a, int b)
        {
            if (a < b)
                // 引数を入替えて自分を呼び出す
                return Gcd(b, a);
            while (b != 0)
            {
                var remainder = a % b;
                a = b;
                b = remainder;
            }
            return a;
        }
    }


    public class ConsoleInput
    {
        private readonly System.IO.TextReader _stream;
        private char _separator = ' ';
        private Queue<string> inputStream;
        public ConsoleInput(System.IO.TextReader stream,char separator = ' ')
        {
            this._separator = separator;
            this._stream = stream;
            inputStream = new Queue<string>();
        }

        public string Read
        {
            get
            {
                if(inputStream.Count != 0) return inputStream.Dequeue();
                string[] tmp = _stream.ReadLine().Split(_separator);
                for(int i = 0;i < tmp.Length;i++)
                    inputStream.Enqueue(tmp[i]);
                return inputStream.Dequeue();
            }
        }

        
        public string ReadLine { get { return _stream.ReadLine(); }}
        public int ReadInt { get { return int.Parse(Read); }}
        public long ReadLong { get { return long.Parse(Read); }}
        public double ReadDouble { get { return double.Parse(Read); }}
        public string[] ReadStrArray(long N) { var ret = new string[N]; for (long i = 0; i < N; ++i) ret[i] = Read; return ret;}
        public int[] ReadIntArray(long N) { var ret = new int[N]; for (long i = 0; i < N; ++i) ret[i] = ReadInt; return ret;}
        public long[] ReadLongArray(long N) { var ret = new long[N]; for (long i = 0; i < N; ++i) ret[i] = ReadLong; return ret;}
    }

}

Measured memory_bytes: 27908