import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		String s = sc.nextLine();
		long sum = 0;
		int K = Integer.valueOf(s);
		
		for (int i = 1; i <= K; i++) {
			for (int j = 1; j <= K; j++) {
				for (int k = 1; k <= K; k++) {
					sum += gcd(gcd(i, j), k);
				}
			}
		}
		System.out.println(sum);
	}

	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