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def abundant(num)
  result = 0
  Integer(num/2+1).downto(1) do |factor|
    if num % factor == 0
      # factors.append(factor)
      result += factor
    end
  end
  return result > num
end

puts 'Finding all the abundant numbers...'

isAbundant = []
result = 0

(1..28123).each do |number|
  if abundant(number)
    isAbundant << number
  end
end

puts 'found all the abundant numbers...'

possibilities = (1..28123).to_a

isAbundant.each do |factorOne|
  isAbundant.each do |factorTwo|
    possibilities.delete(factorOne + factorTwo)
  end
end

# print sum of the remaining possibilities
puts possibilities.inject{:+}