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I hate to detract from the point, but flash...for that? Bit much, aye?
I have them e^(pi^2/(12 log 2)). Reason: For almost all real numbers x, if you take their continued fraction expansion and consider the the sequence of their convergence, the n'th root of the denominator of the n'th convergent approaches the limit I gave as my favorite number. How could such a marvelous number not be one's favorite?
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Mine is 1776. When it started becoming "favorite" number. :)