import java.util.Scanner;

public class Main {
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        int k = sc.nextInt();
        long ans = 0;
        // 文字列切り出し
        for(int i = 1; i <= k; i++) {
            for(int j = 1; j <= k; j++) {
                for(int h = 1; h <= k; h++) {
                    ans += gcd(i, gcd(j, h));
                }
            }
        }
        
        System.out.println(ans);
    }

    // 最大公約数
    static int gcd(int a, int b) {
        return b>0 ? gcd(b, a%b) : 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