Algodoo

stuff you need to know to understand this graph:
F is a deficient number (e.g. 14)
B is an abundant number (e.g. 12)
P is a perfect number (e.g. 28)
A is an aspiring number (e.g. 25)
M are amicable numbers (e.g. 220 and 284)
S are social numbers (e.g. 12496, 14288, 15472, 14536 and 14264)
D is a diverging number (e.g. 276, but these types of numbers arent proven to be diverging numbers)
the arrows point to the aliquot sum of a number (aka the sum of a numbers' factors)