import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

	public static void main(String[] args) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		
		int K = Integer.parseInt(br.readLine());
		
		long sum = 0;
		for(int i=1; i<K+1; i++) {
			for(int j=1; j<K+1; j++) {
				for(int k=1; k<K+1; k++) {
					sum += gcd(i, gcd(j, k));
				}
			}
		}
		
		System.out.println(sum);
	}
	
	public static int gcd(int a, int b) {
		while(b != 0) {
			int tmp = a % b;
			a = b;
			b = tmp;
		}
		
		return Math.abs(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