import java.io.*;
import java.util.*;
import java.lang.*;

public class Main {
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
    public static int gcd(int a, int b){
        if(b==0){
            return a;
        }
        return gcd(b,a%b);
    }
    public static void main(String[] args) {
        FastReader ob = new FastReader();
        int t = ob.nextInt();
        long sum=0;
        for (int i = 1; i <=t ; i++) {
            for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            }

        }
        System.out.println(sum);
    }
} import java.io.*; io.* java import java.util.*; util.* java import java.lang.*; lang.* java public class Main {
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
    public static int gcd(int a, int b){
        if(b==0){
            return a;
        }
        return gcd(b,a%b);
    }
    public static void main(String[] args) {
        FastReader ob = new FastReader();
        int t = ob.nextInt();
        long sum=0;
        for (int i = 1; i <=t ; i++) {
            for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            }

        }
        System.out.println(sum);
    }
} Main public static 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 static void main(String[] args) {
        FastReader ob = new FastReader();
        int t = ob.nextInt();
        long sum=0;
        for (int i = 1; i <=t ; i++) {
            for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            }

        }
        System.out.println(sum);
    } main {
        FastReader ob = new FastReader();
        int t = ob.nextInt();
        long sum=0;
        for (int i = 1; i <=t ; i++) {
            for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            }

        }
        System.out.println(sum);
    } FastReader ob = new FastReader(); ob new FastReader() int t = ob.nextInt(); t ob.nextInt() ob.nextInt ob long sum=0; sum 0 for (int i = 1; i <=t ; i++) {
            for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            }

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

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

        } for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            } int j = 1; int j = 1; j 1 j <=t j t j++ j++ j {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            } {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            } for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                } int k = 1; int k = 1; k 1 k <=t k t 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 static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    } FastReader BufferedReader br; br StringTokenizer st; st public FastReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        } FastReader {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        } br = new BufferedReader(new
                    InputStreamReader(System.in)) br new BufferedReader(new
                    InputStreamReader(System.in)) String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        } next {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        } while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            } st == null || !st.hasMoreElements() st == null st null !st.hasMoreElements() st.hasMoreElements() st.hasMoreElements st {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            } try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                } catch (IOException e) {
                    e.printStackTrace();
                } IOException e {
                    e.printStackTrace();
                } e.printStackTrace() e.printStackTrace e {
                    st = new StringTokenizer(br.readLine());
                } st = new StringTokenizer(br.readLine()) st new StringTokenizer(br.readLine()) return st.nextToken(); st.nextToken() st.nextToken st int nextInt() {
            return Integer.parseInt(next());
        } nextInt {
            return Integer.parseInt(next());
        } return Integer.parseInt(next()); Integer.parseInt(next()) Integer.parseInt Integer next() next long nextLong() {
            return Long.parseLong(next());
        } nextLong {
            return Long.parseLong(next());
        } return Long.parseLong(next()); Long.parseLong(next()) Long.parseLong Long next() next double nextDouble() {
            return Double.parseDouble(next());
        } nextDouble {
            return Double.parseDouble(next());
        } return Double.parseDouble(next()); Double.parseDouble(next()) Double.parseDouble Double next() next String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        } nextLine {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        } String str = ""; str "" try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            } catch (IOException e) {
                e.printStackTrace();
            } IOException e {
                e.printStackTrace();
            } e.printStackTrace() e.printStackTrace e {
                str = br.readLine();
            } str = br.readLine() str br.readLine() br.readLine br return str; str public class Main {
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
    public static int gcd(int a, int b){
        if(b==0){
            return a;
        }
        return gcd(b,a%b);
    }
    public static void main(String[] args) {
        FastReader ob = new FastReader();
        int t = ob.nextInt();
        long sum=0;
        for (int i = 1; i <=t ; i++) {
            for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            }

        }
        System.out.println(sum);
    }
} public class Main {
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
    public static int gcd(int a, int b){
        if(b==0){
            return a;
        }
        return gcd(b,a%b);
    }
    public static void main(String[] args) {
        FastReader ob = new FastReader();
        int t = ob.nextInt();
        long sum=0;
        for (int i = 1; i <=t ; i++) {
            for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            }

        }
        System.out.println(sum);
    }
} Main
import java.io.*;
import java.util.*;
import java.lang.*;

public class Main {
    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
    public static int gcd(int a, int b){
        if(b==0){
            return a;
        }
        return gcd(b,a%b);
    }
    public static void main(String[] args) {
        FastReader ob = new FastReader();
        int t = ob.nextInt();
        long sum=0;
        for (int i = 1; i <=t ; i++) {
            for (int j = 1; j <=t ; j++) {
                for (int k = 1; k <=t ; k++) {
                    sum+=gcd(i,gcd(j,k));
                }
            }

        }
        System.out.println(sum);
    }
}