import java.io.BufferedReader;
import java.io.IOException;
import java.util.*;
import java.io.*;
 
public class Main {
    public static void main(String[] args) throws IOException {
        FastScanner sc = new FastScanner();
        int num = sc.nextInt();
      	int result = 0;
      	for(int i=1;i<=num;i++){
          for(int j=1;j<=num;j++){
            int tmp = gcd(i,j);
            for(int k=1;k<=num;k++){
         		//最初の2数の最大公約数を取得
                result += gcd(tmp,k); 
            }
          }
        }
      System.out.println(result);
    }
	static int gcd(int a,int b){
  		int tmp = 0;
  		int amari=-1;
  		if(a>=b){
    		tmp = a;
    		a = b;
  		}else{
    		tmp = b;
  		}

 		 while(amari != 0){
    		amari = a%tmp;
           	a = tmp;
           	tmp = amari;
  		 }
  		return a;
	}
  
      private static class FastScanner {
        private final InputStream in = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;
        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            }else{
                ptr = 0;
                try {
                    buflen = in.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }
        private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
        private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
        public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
        public String next() {
            if (!hasNext()) throw new NoSuchElementException();
            StringBuilder sb = new StringBuilder();
            int b = readByte();
            while(isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        }
        public long nextLong() {
            if (!hasNext()) throw new NoSuchElementException();
            long n = 0;
            boolean minus = false;
            int b = readByte();
            if (b == '-') {
                minus = true;
                b = readByte();
            }
            if (b < '0' || '9' < b) {
                throw new NumberFormatException();
            }
            while(true){
                if ('0' <= b && b <= '9') {
                    n *= 10;
                    n += b - '0';
                }else if(b == -1 || !isPrintableChar(b)){
                    return minus ? -n : n;
                }else{
                    throw new NumberFormatException();
                }
                b = readByte();
            }
        }
        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
            return (int) nl;
        }
        public double nextDouble() { return Double.parseDouble(next());}
    }
  
}

Measured memory_bytes: 32604