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Yes, Chanukah/Hanukkah falls on certain days — within the 30-day range it can fall on — more often than not, though over, the last 118 years, the distribution has been fairly even, as one would hope (and expect).
December 7, for whatever reason, has been more favored than any other.
December 12, as in 2017, has had 5, which is a fairly common.
The first day of the range, November 27, as can often be the case, has only had 2 ‘showings’.