Wednesday, September 1, 2010

4242

4242 = 2 x 3 x 7 x 101. It has exactly four distinct palindromic prime factors. It is also a multiple of 7 containing only even digits.

4242 is a divisor of 4120 - 1.

4242 is a number n such that it is a multiple of 7 and n - 1 and n + 1 are twin primes.

4242 is the number of partitions of 32 into at most 10 parts.

4242 is the number of distinct walks of length 2n on a cubic lattice, starting and finishing at the origin and staying in the first (nonnegative) octant, for n = 5.

NGC 4242 is a spiral galaxy in the constellation Canes Venatici.

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