Number of the day: 21429

Properties of the number 21429:

21429 = 3² × 2381 is the 19023^th composite number and is not squarefree.
21429 has 2 distinct prime factors, 6 divisors, 7 antidivisors and 14280 totatives.
21429 has a Fibonacci digit product 144 in base 10.
21429 = 1³ + 21³ + 23³ is the sum of 3 positive cubes in 1 way.
21429 = 10715² - 10714² = 3573² - 3570² = 1195² - 1186² is the difference of 2 nonnegative squares in 3 ways.
21429 is the sum of 2 positive triangular numbers.
21429 is the difference of 2 positive pentagonal numbers in 1 way.
21429 = 102² + 105² is the sum of 2 positive squares in 1 way.
21429 = 7² + 8² + 146² is the sum of 3 positive squares.
21429² = 621² + 21420² is the sum of 2 positive squares in 1 way.
21429² is the sum of 3 positive squares.
21429 is a proper divisor of 1021²¹ - 1.
21429 = '2' + '1429' is the concatenation of 2 prime numbers.
21429 is palindromic in (at least) the following bases: -32, and -51.
21429 in base 11 = 15111 and consists of only the digits '1' and '5'.
21429 in base 28 = r99 and consists of only the digits '9' and 'r'.
21429 in base 34 = ii9 and consists of only the digits '9' and 'i'.
21429 in base 35 = hh9 and consists of only the digits '9' and 'h'.

The number 21429 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A031846: Period of continued fraction for sqrt(n) contains exactly 78 ones.
A037101: Trajectory of 3 under map n->7n+1 if n odd, n->n/2 if n even
A271412: Partial sums of the number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 358", based on the 5-celled von Neumann neighborhood.
A271623: a(0)=7; a(n) = 7*a(n-1) + 1 if a(n-1) is odd, a(n) = a(n-1)/2 otherwise.