import java.util.*;

public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);

        int K = sc.nextInt();
        int cnt = 0;

        for (int a = 1; a <= K; a++) {
            for (int b = 1; b <= K; b++) {
                for (int c = 1; c <= K; c++) {
                    cnt += gcd(gcd(a, b), c);
                }
            }
        }

        System.out.println(cnt);
    }

    static int gcd(int m, int n) {
        if (m < n) return gcd(n, m);
        if (n == 0) return m;
        return gcd(n, m % n);
    }
}

/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