import java.util.Scanner;

public class Main {

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

		int A = sc.nextInt();
		long ans = 0;
		Main main = new Main();

		for (int i = 1; i <= A; i++) {
			for (int j = 1; j <= A; j++) {
				for (int k = 1; k <= A; k++) {
					ans += main.GCD(i, main.GCD(j, k));
				}
			}
		}

		System.out.println(ans);

	}

	public 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