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That's how many licks it takes to get to the center of a Tootsie Pop. Well, that's how many it took ME. I spent a few hours one day with a Tootsie Pop, making certain to use a uniform lick pattern and only attacking one specific zone on its circumference. I would lick and then tick off on a pad of paper. When I finally reached the center, I had ticked my 3,602nd tick. I sent this information to the good people of the Tootsie company and received a form letter back essentially telling me that I had wasted at least 3,602 seconds of my life in one fell swoop.
Incidentally, it takes roughly 2,400 uniform licks on a Tootsie Pop to cause your tongue to bleed.