import java.util.*;
public class Main {
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
      	int K = sc.nextInt();
        long sum = (long) 0;
      	for(int i=1; i<K+1;  i++){
          for(int j=1; j<K+1;  j++){
            for(int l=1; l<K+1;  l++){
              sum += gcd(gcd(i,j),l);
            }
          }
        }
      
      	System.out.println(sum);
        return;
	}
       static int gcd (int a, int b) {return b>0?gcd(b,a%b):a;}
}

/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