import java.io.BufferedReader;
        import java.io.IOException;
        import java.io.InputStreamReader;
        import java.lang.reflect.Array;
        import java.math.BigInteger;
        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;
        }
    }
    static int gcd(int a,int b){
        if(b==0){
            return a;
        }else{
            return gcd(b,a%b);
        }
    }
    public static void main(String[] args) {
        FastReader in = new FastReader();
        int k=in.nextInt();
        long sum=0;
        for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        }
        System.out.println(sum);
    }
} import java.io.BufferedReader; BufferedReader java.io import java.io.IOException; IOException java.io import java.io.InputStreamReader; InputStreamReader java.io import java.lang.reflect.Array; Array java.lang.reflect import java.math.BigInteger; BigInteger java.math 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;
        }
    }
    static int gcd(int a,int b){
        if(b==0){
            return a;
        }else{
            return gcd(b,a%b);
        }
    }
    public static void main(String[] args) {
        FastReader in = new FastReader();
        int k=in.nextInt();
        long sum=0;
        for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        }
        System.out.println(sum);
    }
} Main static int gcd(int a,int b){
        if(b==0){
            return a;
        }else{
            return gcd(b,a%b);
        }
    } gcd {
        if(b==0){
            return a;
        }else{
            return gcd(b,a%b);
        }
    } if(b==0){
            return a;
        }else{
            return gcd(b,a%b);
        } b==0 b 0 {
            return a;
        } return a; a {
            return gcd(b,a%b);
        } 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 in = new FastReader();
        int k=in.nextInt();
        long sum=0;
        for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        }
        System.out.println(sum);
    } main {
        FastReader in = new FastReader();
        int k=in.nextInt();
        long sum=0;
        for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        }
        System.out.println(sum);
    } FastReader in = new FastReader(); in new FastReader() int k=in.nextInt(); k in.nextInt() in.nextInt in long sum=0; sum 0 for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        } int i=1; int i=1; i 1 i<=k i k i++ i++ i {
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        } {
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        } for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            } int j=1; int j=1; j 1 j<=k j k j++ j++ j {
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            } {
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            } int a =gcd(i,j); a gcd(i,j) gcd i j for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                } int m =1; int m =1; m 1 m<=k m k m++ m++ m {
                    sum+=gcd(a,m);
                } {
                    sum+=gcd(a,m);
                } sum+=gcd(a,m) sum gcd(a,m) gcd a m 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;
        }
    }
    static int gcd(int a,int b){
        if(b==0){
            return a;
        }else{
            return gcd(b,a%b);
        }
    }
    public static void main(String[] args) {
        FastReader in = new FastReader();
        int k=in.nextInt();
        long sum=0;
        for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        }
        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;
        }
    }
    static int gcd(int a,int b){
        if(b==0){
            return a;
        }else{
            return gcd(b,a%b);
        }
    }
    public static void main(String[] args) {
        FastReader in = new FastReader();
        int k=in.nextInt();
        long sum=0;
        for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        }
        System.out.println(sum);
    }
} Main
import java.io.BufferedReader;
        import java.io.IOException;
        import java.io.InputStreamReader;
        import java.lang.reflect.Array;
        import java.math.BigInteger;
        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;
        }
    }
    static int gcd(int a,int b){
        if(b==0){
            return a;
        }else{
            return gcd(b,a%b);
        }
    }
    public static void main(String[] args) {
        FastReader in = new FastReader();
        int k=in.nextInt();
        long sum=0;
        for(int i=1;i<=k;i++){
            for(int j=1;j<=k;j++){
                int a =gcd(i,j);
                for(int m =1;m<=k;m++){
                    sum+=gcd(a,m);
                }
            }
        }
        System.out.println(sum);
    }
}
