import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

    public static void main(String[] args) throws IOException {

        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int n = Integer.parseInt(br.readLine());
        long sum= 0;

        for(int i =1; i <= n; i++){
            for(int j = 1; j <= n; j++){
                for(int k = 1; k<=n; k++){
                    sum += getGCD(i,getGCD(j,k));
                }
            }
        }
        System.out.println(sum);
    }

    private static long getGCD(long a, long b){
        if(a%b == 0){
            return b;
        }
        else {
            return getGCD(b, a%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