import java.util.*;

class Main{
	static public void main(String[] args){
		Scanner sc=new Scanner(System.in);
		
		int n=sc.nextInt();
		int sum=0;
		for(int i=1;i<=n;i++){
			for(int j=1;j<=n;j++){
				for(int l=1;l<=n;l++){
					sum+=gcd(i,gcd(j,l));
				}
			}
		}
		
		System.out.println(sum);
	}
		
	public static int gcd(int m, int n) {
        int r;
        while (n > 0) {
            r = m % n;
            m = n;
            n = r;
        }
        return m;
	}
}
/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