import java.util.*;
public class Main {

  private static long gcd(long m, long n) {
    if(m < n) return gcd(n, m);
    if(n == 0) return m;
    return gcd(n, m % n);
  }

  public static void main(String args[]) {
    Scanner sc = new Scanner(System.in);

    int k = sc.nextInt();
    int ans = 0;

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

    sc.close();

  }
}
/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