import java.util.Scanner;

public class Main {
//java11
	public static void main(String[] args) {
		// TODO 自動生成されたメソッド・スタブ

		Scanner sc = new Scanner(System.in);

		int K = sc.nextInt();

		int ans = 0;
		for(int i=1; i<=K; i++) {
			for(int j=1; j<=K; j++) {
				for(int k=1; k<=K; k++) {
					ans += gcd(gcd(i, j), k);
				}
			}
		}

		System.out.println(ans);
	}

	//最大公約数
	static int gcd(int a, int b) {
		int big = Math.max(a, b);
		int small = Math.min(a, b);

		if(small == 0) {
			return big;
		}

		return gcd(small, big % small);
	}

}

/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