import java.util.Scanner;

class Main {
    public static void main(String[] args) {
        Scanner s = new Scanner(System.in);
        int K = s.nextInt();
        long res = 0;
        for(int a = 1; a <= K; a ++) {
            for (int b = 1; b <= K; b++) {
                for(int c = 1; c <= K; c++) {
                    res += gcd(a, b, c);
                }
            }
        }
        System.out.println(res);
    }
    private static int gcd(int a, int b, int c) {
        return gcd(gcd(a, b), c);
    }
    private static int gcd(int a, int b) {
        if( a == 0) {
            return b;
        }
        return gcd(b%a, 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