Sunday, July 24, 2016

Number of the day: 177084

Properties of the number 177084:

177084 = 22 × 32 × 4919 is the 160992th composite number and is not squarefree.
177084 has 3 distinct prime factors, 18 divisors, 9 antidivisors and 59016 totatives.
177084 = 442722 - 442702 = 147602 - 147542 = 49282 - 49102 is the difference of 2 nonnegative squares in 3 ways.
177084 is the difference of 2 positive pentagonal numbers in 1 way.
177084 is not the sum of 3 positive squares.
1770842 is the sum of 3 positive squares.
177084 is a divisor of 4332459 - 1.
177084 in base 3 = 22222220200 and consists of only the digits '0' and '2'.
177084 in base 35 = 44jj and consists of only the digits '4' and 'j'.

The number 177084 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A273574: Number of active (ON,black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 801", based on the 5-celled von Neumann neighborhood.

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