import java.util.*;

class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    long N = sc.nextLong();
    long ans = 0;

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

  private static int gcd(int i, int j) {
    if(i < j) return gcd(j, i);
    if(j == 0) return i;
    return gcd(j, i % j);
  }
}
/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