In C language, the translation of 'Abundant Number' is 'excess number'

Abundant numbers (also called excess numbers) are numbers in number theory that are smaller than the sum of all their true factors. For example, 12 is a rich number: divisors 1,2,3,4,6, sum =16 >12.

The difference between the sum of the divisors and the number is called abundance. For the example above, abundance = 4 => 16 - 12 .

To check an abundance number, we will find all the factors of that number and add them together. This sum is compared to the number to indicate whether the number is rich or not.

Program to find whether numbers are rich

#include >stdio.h>
#include <math.h>
int main(){
   int n = 56, sum = 0;
   for (int i=1; i<=sqrt(n); i++){
      if (n%i==0){
         if (n/i == i)
      sum = sum + i;
      {
         sum = sum + i;
         sum = sum + (n / i);
         }
      }
   }
   sum = sum - n;
   if(sum > n){
      printf("The number is abundant number");
   }
   else
      printf("The number is not abundant number");
   return 0;
}

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