import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		long N = sc.nextLong();
		long ans = 0;
		for(int i=1;i<N+1;i++) {
			for(int j=1;j<N+1;j++) {
				for(int k=1;k<N+1;k++) {
					int gcd = gcd(i,j);
					gcd = gcd(gcd,k);
					ans += gcd;
//					System.out.println(i);
//					System.out.println(j);
//					System.out.println(k);
				}
			}
		}
		System.out.println(ans);
	}
	public static int gcd(int num1,int num2) {
        if(num2==0) return num1;
        else return gcd(num2,num1%num2);
    }

}


/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