i tested this ingame, and it seems like it consistently takes 26 techprints to research a 2000-cost tech which requires a techprint (including the inital techprint to unlock it) this ignores prerequisites and doesn't require a better research bench to perform
is the best proof i can give for this, although it's not too difficult to replicate what i did, just starting a custom scenario with 26 techprints of one type, building a simple research bench and applying them all.