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 k = Integer.parseInt(br.readLine());
    
    long sum = 0L;
    for (int i = 1; i <= k; i++)
      for (int j = 1; j <= k; j++)
        for (int s = 1; s <= k; s++)
          sum += gcd(gcd(i, j), s);
    
    System.out.print(sum);
  }
  
  private static int gcd(int i, int j) {
  	return j > 0 ? gcd(j, i % j) : i;
  }
}

/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