import java.util.*;

class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int K = sc.nextInt();
    
    int sum = 0;
    
    for(int i=1;i<K+1;i++) {
      for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      }
    }
    
    System.out.println(sum);
  }
  public static int gcd(int a, int b) {
    if (a < b) {
        int tmp = a;
        a = b;
        b = tmp;
    }
    int r = -1;
    while (r != 0) {
        r = a % b;
        a = b;
        b = r;
    }
    return a;
  }
  public static int gcd(int a, int b, int c) {
    return gcd(gcd(a, b), c);
  }
} import java.util.*; util.* java class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int K = sc.nextInt();
    
    int sum = 0;
    
    for(int i=1;i<K+1;i++) {
      for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      }
    }
    
    System.out.println(sum);
  }
  public static int gcd(int a, int b) {
    if (a < b) {
        int tmp = a;
        a = b;
        b = tmp;
    }
    int r = -1;
    while (r != 0) {
        r = a % b;
        a = b;
        b = r;
    }
    return a;
  }
  public static int gcd(int a, int b, int c) {
    return gcd(gcd(a, b), c);
  }
} Main public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int K = sc.nextInt();
    
    int sum = 0;
    
    for(int i=1;i<K+1;i++) {
      for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      }
    }
    
    System.out.println(sum);
  } main {
    Scanner sc = new Scanner(System.in);
    int K = sc.nextInt();
    
    int sum = 0;
    
    for(int i=1;i<K+1;i++) {
      for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      }
    }
    
    System.out.println(sum);
  } Scanner sc = new Scanner(System.in); sc new Scanner(System.in) int K = sc.nextInt(); K sc.nextInt() sc.nextInt sc int sum = 0; sum 0 for(int i=1;i<K+1;i++) {
      for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      }
    } int i=1; int i=1; i 1 i<K+1 i K+1 K 1 i++ i++ i {
      for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      }
    } {
      for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      }
    } for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      } int j=1; int j=1; j 1 j<K+1 j K+1 K 1 j++ j++ j {
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      } {
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      } for(int k=1;k<K+1;k++) sum += gcd(i, j, k); int k=1; int k=1; k 1 k<K+1 k K+1 K 1 k++ k++ k sum += gcd(i, j, k); sum += gcd(i, j, k) sum gcd(i, j, k) gcd i j k System.out.println(sum) System.out.println System.out System System.out sum String[] args args public static int gcd(int a, int b) {
    if (a < b) {
        int tmp = a;
        a = b;
        b = tmp;
    }
    int r = -1;
    while (r != 0) {
        r = a % b;
        a = b;
        b = r;
    }
    return a;
  } gcd {
    if (a < b) {
        int tmp = a;
        a = b;
        b = tmp;
    }
    int r = -1;
    while (r != 0) {
        r = a % b;
        a = b;
        b = r;
    }
    return a;
  } if (a < b) {
        int tmp = a;
        a = b;
        b = tmp;
    } a < b a b {
        int tmp = a;
        a = b;
        b = tmp;
    } int tmp = a; tmp a a = b a b b = tmp b tmp int r = -1; r -1 1 while (r != 0) {
        r = a % b;
        a = b;
        b = r;
    } r != 0 r 0 {
        r = a % b;
        a = b;
        b = r;
    } r = a % b r a % b a b a = b a b b = r b r return a; a int a a int b b public static int gcd(int a, int b, int c) {
    return gcd(gcd(a, b), c);
  } gcd {
    return gcd(gcd(a, b), c);
  } return gcd(gcd(a, b), c); gcd(gcd(a, b), c) gcd gcd(a, b) gcd a b c int a a int b b int c c
import java.util.*;

class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    int K = sc.nextInt();
    
    int sum = 0;
    
    for(int i=1;i<K+1;i++) {
      for(int j=1;j<K+1;j++){
        for(int k=1;k<K+1;k++) sum += gcd(i, j, k);
      }
    }
    
    System.out.println(sum);
  }
  public static int gcd(int a, int b) {
    if (a < b) {
        int tmp = a;
        a = b;
        b = tmp;
    }
    int r = -1;
    while (r != 0) {
        r = a % b;
        a = b;
        b = r;
    }
    return a;
  }
  public static int gcd(int a, int b, int c) {
    return gcd(gcd(a, b), c);
  }
}