import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int K = sc.nextInt();
		sc.close();
		int total = 0;
		for(int a = 1; a <= K; a++) {
			for(int b = 1; b <= K; b++) {
				for(int c = 1; c <= K; c++) {
					int result = gcdThree(a , b, c);
					total += result;
				}
			}
		}
		System.out.println(total);
	}
	
	static int gcd(int a, int b) {
		int temp;
		while((temp = a % b) != 0) {
			a = b;
			b = temp;
		}
		return b;
	}
	
	static int gcdThree(int a , int b, int c) {
		int gcdTwo = gcd(a, b);
		int result = gcd(gcdTwo , c);
		return result;
	}

}
/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