The number 42

[Gerald McGarvey]

Some information about the number 42

http://en.wikipedia.org/wiki/42_%28number%29

http://en.wikipedia.org/wiki/The_Answer_to_Life,_the_Universe,_and_Everything

to this I'll add:

cosine(42) ~ -0.399985

Let phi_n denote Euler's totient function iterated n times, then
phi_n(42^42) = 2^(42+n) * 3^42 * 7^(42-n) for n = 1 to 42.
The phi iteration can be repeated 3*42 times.
42^42/sum(all resulting phi values) = 2.49999999999999999999999118906...
http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?Anum=A104112 


Cheers,
Gerald

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