import java.util.Scanner;

public class Main {
  public static void main(String[] args) {
    Scanner scan = new Scanner(System.in);
    int N = scan.nextInt();
    scan.close();

    long sum = 0;
    for(int a=1; a<=N; a++) {
      for(int b=1; b<=N; b++) {
        for(int c=1; c<=N; c++) {
          sum += gcd(a, gcd(b,c));
        }
      }
    }
    System.out.println(sum);
  }

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