Friday, April 27, 2018

Number of the day: 17476

Properties of the number 17476:

17476 = 22 × 17 × 257 is the 15466th composite number and is not squarefree.
17476 has 3 distinct prime factors, 12 divisors, 11 antidivisors and 8192 totatives.
17476 has a semiprime digit sum 25 in base 10.
17476 has a triangular digit product 1176 in base 10.
Reversing the decimal digits of 17476 results in a semiprime.
17476 = 43702 - 43682 = 2742 - 2402 is the difference of 2 nonnegative squares in 2 ways.
17476 is the difference of 2 positive pentagonal numbers in 1 way.
17476 = 402 + 1262 = 242 + 1302 is the sum of 2 positive squares in 2 ways.
17476 = 42 + 62 + 1322 is the sum of 3 positive squares.
174762 = 100802 + 142762 = 82242 + 154202 = 62402 + 163242 = 21762 + 173402 is the sum of 2 positive squares in 4 ways.
174762 is the sum of 3 positive squares.
17476 is a proper divisor of 15434 - 1.
17476 is palindromic in (at least) the following bases: 16, 37, 41, and 64.
17476 in base 4 = 10101010 and consists of only the digits '0' and '1'.
17476 in base 16 = 4444 and consists of only the digit '4'.
17476 in base 37 = CSC and consists of only the digits 'C' and 'S'.
17476 in base 40 = Aaa and consists of only the digits 'A' and 'a'.
17476 in base 41 = AGA and consists of only the digits 'A' and 'G'.

The number 17476 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A002956: Number of basic invariants for cyclic group of order and degree n.
A033114: Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0.
A083593: Expansion of 1/((1-2*x)*(1-x^4)).
A115451: Expansion of 1/((1+x)*(1-2*x)*(1+x^2)).
A240250: T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest or the sum of the elements antidiagonally to its northeast, modulo 4
A273972: Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 20", based on the 5-celled von Neumann neighborhood.
A274224: Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 22", based on the 5-celled von Neumann neighborhood.
A277933: Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 6", based on the 5-celled von Neumann neighborhood.
A281216: Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 342", based on the 5-celled von Neumann neighborhood.
A283216: Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 597", based on the 5-celled von Neumann neighborhood.

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