Today marks the start of a new year: 2012. I’d like to take this opportunity to say a few things about this number.


have the same number of primes in their prime factorizations (counting multiplicities). The smallest numbers such that have the same number of primes in their prime factorizations are , so this is actually fairly rare.
And some more really rare properties:
 2012 is not odd.
 2012 is not prime.
 2012 is not a square.
 2012 is not squarefree.
 2012 is not a perfect number.
I know I haven’t posted much recently. It’s a poor excuse, but I’ve been busy. I do have a number of things that I want to write about, however, and I’ll get to them eventually.
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