I would probably go 4000 DPI, myself. That's less than 80 line pairs/mm, which is about what good slide film will resolve in the first place if you're quite careful and have good equipment.
There are at least two approaches to this, though. One aims simply to make a digital copy of the picture, whatever it is in the slide that is pictured. 4000dpi is probably OK for that. The other aims to truly copy the film, to make a copy not merely of the picture but of the film itself, with all its dye blobs and grain and so on. This takes.. a lot more pixels.
Even to recover the just the picture, it's not simply a case of "well, film only captures X so as long as you're over X, then you lose nothing". That's just not true.
When you shoot a piece of film, there is some loss. The film can only resolve so much, it can only handle color in such and such a limited way, and so on. When you scan it, there is further degradation, always. The scanner loses some more resolution for you. The color limitations of the scanner add on to the color limitations of the film, so you lose more color fidelity.
This:
Real world -> film -> scanned image
is a system, and both stages are losing stuff. If the second stage is crazy high fidelity, then you'll lose very very little beyond what the film stage has already lost you. If the second stage is good, maybe about as good as the film, then you're undergoing similar degrees of loss of fidelity twice.
Now, for print, it probably doesn't matter that much. There's so much loss putting the picture onto a magazine page, it hardly matters. For web publication, any old crap will do, really.