Number of the day: 45171

Properties of the number 45171:

45171 = 3³ × 7 × 239 is the 40482^th composite number and is not squarefree.
45171 has 3 distinct prime factors, 16 divisors, 23 antidivisors and 25704 totatives.
45171 = 22586² - 22585² = 7530² - 7527² = 3230² - 3223² = 2514² - 2505² = 1086² - 1065² = 850² - 823² = 390² - 327² = 214² - 25² is the difference of 2 nonnegative squares in 8 ways.
45171 is the sum of 2 positive triangular numbers.
45171 is the difference of 2 positive pentagonal numbers in 1 way.
45171 = 11² + 79² + 197² is the sum of 3 positive squares.
45171² is the sum of 3 positive squares.
45171 is a proper divisor of 757¹⁷ - 1.
45171 = '45' + '171' is the concatenation of 2 triangular numbers.
45171 in base 42 = PPL and consists of only the digits 'L' and 'P'.

The number 45171 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A031795: Period of continued fraction for sqrt(n) contains exactly 27 ones.
A050833: Numbers n such that 163*2^n-1 is a prime.
A095053: Number of primes with number of 1-bits equal to one plus number 0-bits (A095073) in range ]2^2n,2^(2n+1)].
A151350: Number of walks within N^2 (the first quadrant of Z^2) starting and ending at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (0, 1), (1, -1), (1, 1)}
A188381: Negabinary Keith numbers.
A241639: Number of partitions p of n such that (number of even numbers in p) >= (number of odd numbers in p).