
import java.util.Scanner;

public class Main {

	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();
		long total = 0;

		for(int i = 1; i <= k; i++) {
			for(int j = 1; j <= k; j++) {
				for(int l = 1; l <= k; l++) {
					total += gcd(gcd(i,j),l);
				}
			}
		}

		System.out.println(total);
	}

	static int gcd(int a, int b){
		int tmp;

		while (a % b != 0)
		{
			tmp = b;
			b = a % b;
			a = tmp;
		}
		return b;
	}

}

/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