Thursday, September 1, 2016

Number of the day: 147006

Properties of the number 147006:

147006 = 2 × 32 × 8167 is the 133414th composite number and is not squarefree.
147006 has 3 distinct prime factors, 12 divisors, 11 antidivisors and 48996 totatives.
147006 = 112 + 142 + 3832 is the sum of 3 positive squares.
1470062 is the sum of 3 positive squares.
147006 is a divisor of 371361 - 1.

The number 147006 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A207529: Number of n X n 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row or column
A207530: Number of nX3 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row or column
A207535: T(n,k)=Number of nXk 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row or column

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