import java.util.*;
public class Main{
    
    public static int gcd(int a, int b){
        if ( a == 0 ) return b;
        
        return gcd(b%a, a);
    }
    
     public static void main(String []args){
         Scanner scan = new Scanner(System.in);
         int a = scan.nextInt();
         
         long s = 0;
         for (int i=1;i<=a;i++){
             for (int j=1;j<=a;j++){
                 for (int k=1;k<=a;k++){
                     s+=gcd(gcd(i,j), k);
                 }
             }
         }
         
         System.out.println(s);
     }
}
/tmp/hf-datasets-cache/medium/datasets/42704881117311-config-parquet-and-info-qiankunmu-Project_CodeNet-896c9d36/hub/datasets--qiankunmu--Project_CodeNet_Python800_and_Java250/snapshots/c899fde44a77ba1cc14973ed3de064e4ff3aadc7/Project_CodeNet_Java250.tar.gz