import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int K = Integer.parseInt(scanner.nextLine());
        long total = 0;
        for (int i = 1; i <= K; i++) {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            }
        }
        System.out.println(total);
    }

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

    public static int gcd(int a, int b, int c) {
        return gcd(a, gcd(b, c));
    }
} import java.util.Scanner; Scanner java.util public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int K = Integer.parseInt(scanner.nextLine());
        long total = 0;
        for (int i = 1; i <= K; i++) {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            }
        }
        System.out.println(total);
    }

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

    public static int gcd(int a, int b, int c) {
        return gcd(a, gcd(b, c));
    }
} Main public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int K = Integer.parseInt(scanner.nextLine());
        long total = 0;
        for (int i = 1; i <= K; i++) {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            }
        }
        System.out.println(total);
    } main {
        Scanner scanner = new Scanner(System.in);
        int K = Integer.parseInt(scanner.nextLine());
        long total = 0;
        for (int i = 1; i <= K; i++) {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            }
        }
        System.out.println(total);
    } Scanner scanner = new Scanner(System.in); scanner new Scanner(System.in) int K = Integer.parseInt(scanner.nextLine()); K Integer.parseInt(scanner.nextLine()) Integer.parseInt Integer scanner.nextLine() scanner.nextLine scanner long total = 0; total 0 for (int i = 1; i <= K; i++) {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, 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++) {
                    total += gcd(i, j, k);
                }
            }
        } {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            }
        } for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            } int j = 1; int j = 1; j 1 j <= K j K j++ j++ j {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            } {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            } for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                } int k = 1; int k = 1; k 1 k <= K k K k++ k++ k {
                    total += gcd(i, j, k);
                } {
                    total += gcd(i, j, k);
                } total += gcd(i, j, k) total gcd(i, j, k) gcd i j k System.out.println(total) System.out.println System.out System System.out total String[] args args public static int gcd(int a, int b) {
        if (a >= b) {
            if (b == 0) {
                return a;
            }
            return gcd(b, a % b);
        } else {
            return gcd(b, a);
        }
    } gcd {
        if (a >= b) {
            if (b == 0) {
                return a;
            }
            return gcd(b, a % b);
        } else {
            return gcd(b, a);
        }
    } if (a >= b) {
            if (b == 0) {
                return a;
            }
            return gcd(b, a % b);
        } else {
            return gcd(b, a);
        } a >= b a b {
            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 {
            return gcd(b, a);
        } return gcd(b, a); gcd(b, a) gcd b a int a a int b b public static int gcd(int a, int b, int c) {
        return gcd(a, gcd(b, c));
    } gcd {
        return gcd(a, gcd(b, c));
    } return gcd(a, gcd(b, c)); gcd(a, gcd(b, c)) gcd a gcd(b, c) gcd b c int a a int b b int c c public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int K = Integer.parseInt(scanner.nextLine());
        long total = 0;
        for (int i = 1; i <= K; i++) {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            }
        }
        System.out.println(total);
    }

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

    public static int gcd(int a, int b, int c) {
        return gcd(a, gcd(b, c));
    }
} public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int K = Integer.parseInt(scanner.nextLine());
        long total = 0;
        for (int i = 1; i <= K; i++) {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            }
        }
        System.out.println(total);
    }

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

    public static int gcd(int a, int b, int c) {
        return gcd(a, gcd(b, c));
    }
} Main
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int K = Integer.parseInt(scanner.nextLine());
        long total = 0;
        for (int i = 1; i <= K; i++) {
            for (int j = 1; j <= K; j++) {
                for (int k = 1; k <= K; k++) {
                    total += gcd(i, j, k);
                }
            }
        }
        System.out.println(total);
    }

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

    public static int gcd(int a, int b, int c) {
        return gcd(a, gcd(b, c));
    }
}
