These define three classifications of positive integers based on their   proper divisors.

Let   P(n)   be the sum of the proper divisors of   n   where the proper divisors are all positive divisors of   n   other than   n   itself.

   if    P(n) <  n    then  n  is classed as  deficient  (OEIS A005100).
   if    P(n) == n    then  n  is classed as  perfect    (OEIS A000396).
   if    P(n) >  n    then  n  is classed as  abundant   (OEIS A005101).



Example

6   has proper divisors of   1,   2,   and   3.

1 + 2 + 3 = 6,   so   6   is classed as a perfect number.



Task

Calculate how many of the integers   1   to   20,000   (inclusive) are in each of the three classes.

Show the results here.



Related tasks

   Aliquot sequence classifications.   (The whole series from which this task is a subset.)
   Proper divisors
   Amicable pairs


Deficient = 0
Perfect = 0
Abundant = 0
For i = 1 To 20000
	sum = 0
	For n = 1 To 20000
		If n < i Then
			If i Mod n = 0 Then
				sum = sum + n
			End If
		End If
	Next
	If sum < i Then
		Deficient = Deficient + 1
	ElseIf sum = i Then
		Perfect = Perfect + 1
	ElseIf sum > i Then
		Abundant = Abundant + 1
	End If
Next
WScript.Echo "Deficient = " & Deficient & vbCrLf &_
			 "Perfect = " & Perfect & vbCrLf &_
			 "Abundant = " & Abundant