import java.util.*;

public class Main{

    public static int gcd(int a,int b){
        if(a%b==0) return b;
        return gcd(b,a%b);
    }

    public static void main(String[] args)throws Exception{
        Scanner sc = new Scanner(System.in);
        int k=sc.nextInt();
        long total=0;
        for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int g=gcd((int)Math.max(i,j),(int)Math.min(i,j));
                for(int l=1;l<=k;l++){
                    total+=gcd((int)Math.max(g,l),(int)Math.min(g,l));
                }
            }
        }
        System.out.println(total);
    }
}
/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