A mathematical function of natural numbers which sums all the prime factors of the argument to yield another natural number. For example:


W(42) = 2 + 3 + 7 = 13
W(123) = 3 + 41 = 44
W(500) = 2 +2 + 5 + 5 + 5 = 19

I've searched around and have found no reference to anything else similar to this, so I figured I'd name it after myself. A fun game I play on the half-hour bus rides to and from work is uberwelching numbers on building addresses and license plates.