import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        try (Scanner sc = new Scanner(System.in)) {
            int K = sc.nextInt();

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

            System.out.println(sum);
        }
    }

    public static final int gcd(int a, int b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }
} import java.util.Scanner; Scanner java.util public class Main {
    public static void main(String[] args) {
        try (Scanner sc = new Scanner(System.in)) {
            int K = sc.nextInt();

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

            System.out.println(sum);
        }
    }

    public static final int gcd(int a, int b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }
} Main public static void main(String[] args) {
        try (Scanner sc = new Scanner(System.in)) {
            int K = sc.nextInt();

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

            System.out.println(sum);
        }
    } main {
        try (Scanner sc = new Scanner(System.in)) {
            int K = sc.nextInt();

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

            System.out.println(sum);
        }
    } try (Scanner sc = new Scanner(System.in)) {
            int K = sc.nextInt();

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

            System.out.println(sum);
        } {
            int K = sc.nextInt();

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

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

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

            System.out.println(sum);
        }
    }

    public static final int gcd(int a, int b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }
} public class Main {
    public static void main(String[] args) {
        try (Scanner sc = new Scanner(System.in)) {
            int K = sc.nextInt();

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

            System.out.println(sum);
        }
    }

    public static final int gcd(int a, int b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }
} Main
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        try (Scanner sc = new Scanner(System.in)) {
            int K = sc.nextInt();

            int sum = 0;
            for (int i = 1; i <= K; i++) {
                for (int j = 1; j <= K; j++) {
                    for (int k = 1; k <= K; k++) {
                        sum += gcd(i, gcd(j, k));
                    }
                }
            }

            System.out.println(sum);
        }
    }

    public static final int gcd(int a, int b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }
}
