import java.util.Scanner;
//import java.util.Random;

class Main{
	public static void main(String[] args){
		Scanner stdIn=new Scanner(System.in);

		int k=stdIn.nextInt();
		
		long ans=0;
		for(int i=1;i<=k;++i){
			for(int j=1;j<=k;++j){
				for(int l=1;l<=k;++l){
					ans+=gcd(i,gcd(j,l));
				}
			}
		}
		
		System.out.println(ans);
	}
	
	static int gcd(int x,int y){
		return (y==0)?x:gcd(y,x%y);
	}
}
/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