import java.io.BufferedReader;
import java.io.*;
import java.util.*;
import java.util.ArrayList;
import java.util.Iterator;
import java.util.List;
import java.util.Collections;
public class Main {
	public static void main(final String[] args){
    
    Scanner sc = new Scanner(System.in);
    int k = sc.nextInt();
    int m = 0;
    List<Integer> list = new ArrayList<>();
    for(int i = 1; i < k + 1; i++){
        for(int j = 1; j < k + 1; j++){
            for(int l = 1; l < k + 1; l++){
                m = gcd(i,j);
                list.add(gcd(m,l));
            }
        }
    }
    int sum = 0;
    for(int i = 0 ; i < k*k*k ; i++){
        sum += list.get(i);
    }
    System.out.println(sum);
    
}

static int gcd (int a, int b) {
	int temp;
	while((temp = a%b)!=0) {
		a = b;
		b = temp;
	}
	return b;
}


}
/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