import java.util.Scanner;
 
class Main {
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int k = sc.nextInt();
		Main m = new Main();
		long sum = 0;
		for(int i = 1;i <= k;i++){
			for(int j = 1;j <= k;j++){
				for(int l = 1;l <= k;l++){
					sum += m.gcd(i,j,l);
				}
			}
		}
 
		System.out.println(sum);
	}
	int gcd(int a, int b){
		if((a%b!=0)){
			return gcd(b,a%b);
		}
		return b;
	}
	int gcd(int a,int b,int c){
		return gcd(gcd(a,b),c);
	}
}
/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