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Abundant Number Program Solution (Java) | Recursive Technique | ISC level

 /**

 * Write a Java program to print all the possible Abundant numbers (integers) between

M and N ( 1 > M,N < 100000) .

In number theory, an abundant number is a number for which the sum of its proper

divisors are greater than the number itself.

The first few abundant numbers are:

12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102,...

The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6

for a total of 16.

 */

import java.util.*;

public class AbundantNum

{

    public static int factors(int x, int f) //recursive function to find the sum of factors of the number

    {

        if(x==f)

            return 0;

        else if(x%f==0)

            return f+factors(x,f+1);

        else

            return factors(x,f+1);

    }


    public static void main()

    {

        Scanner sc=new Scanner(System.in);

        System.out.print("\nEnter the lower limit : ");

        int M=sc.nextInt();

        System.out.print("\nEnter the upper limit : ");

        int N=sc.nextInt();

        if(M>1 && M<100000 && N>1 && N<100000)

        {

            for(int i=M;i<=N;i++)

            {

                if(factors(i,1)>i)

                    System.out.print(i+", ");

            }

        }

        else

        {

            System.out.println("OUT OF RANGE");

            main();

        }

    } // end of main

} // end of class

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