import java.util.Scanner;

public class Main {
	static void log(String s) {
		System.out.println(s);
	}

	static void log(int i) {
		System.out.println(i);
	}

	static void log(long i) {
		System.out.println(i);
	}

	static void log(double d) {
		System.out.printf("%.12f\n",d);
	}
	

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		int k = sc.nextInt();

		long total=0;
		int gcd1;
		
		for(int i=1; i<=k; i++) {

			for(int j=1; j<=k; j++) {
				gcd1 = gcd2(i,j);
				for(int l=1 ;l<=k; l++) {
					total += gcd2(gcd1,l);
				}
			}
		}
		
		sc.close();
		
		log( total );
		
	}

    public static int gcd2(int m, int n) {
        int r;
        while (n > 0) {
            r = m % n;
            m = n;
            n = r;
        }
        return m;
    }
	
}

/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