One, two, three, ah ha ha.
How many objects can you visually count? That is, how many objects can you look at and
instantly know the number of, without having to count or break them into groups? For me it's five. So I see this as "five":

But when I look at this, it initially just reads as "a bunch." I can only make sense of it if I think "two threes."

Unless the objects are arranged tidily, multi-grouping only works well up to about ten for me; after "two fives" I'm down to "one, two, three..." which works on pretty much any reasonable number of objects.

It's surprisingly primitive how little we can really count--and kinda inspiring how much we understand about math anyway.
I understand this varies from person to person, so I'm curious:
Poll #1327319 Counting
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How many objects can you visually count?
EDIT: Holy crap, I didn't even realize when I posted this that my "five" and "two fives" limits correspond rather obviously to fingers. I honestly didn't even think that. My little monkey-mind is blown.