Number of the day: 9238

Properties of the number 9238:

9238 = 2 × 31 × 149 is a sphenic number and squarefree.
9238 has 3 distinct prime factors, 8 divisors, 11 antidivisors and 4440 totatives.
9238 has a semiprime digit sum 22 in base 10.
Reversing the decimal digits of 9238 results in a prime.
9238 is the difference of 2 positive pentagonal numbers in 3 ways.
9238 = 15² + 38² + 87² is the sum of 3 positive squares.
9238² = 3162² + 8680² is the sum of 2 positive squares in 1 way.
9238² is the sum of 3 positive squares.
9238 is a proper divisor of 1489² - 1.
9238 is palindromic in (at least) the following bases: -22, and -54.
9238 in base 21 = kjj and consists of only the digits 'j' and 'k'.

The number 9238 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005819: Number of words of length n in a certain language.
A015988: Eight iterations of Reverse and Add are needed to reach a palindrome.
A065213: Eight 'Reverse and Add' steps are needed to reach a palindrome.
A188669: a(n) = ceiling(binomial(2*n-1,n-1)/n).
A224724: Number of (n+3)X7 0..2 matrices with each 4X4 subblock idempotent
A244205: Number of ballot sequences of length n having largest descent 9.
A262157: Expansion of psi(x^3)^3 / (psi(x)^2 * psi(x^2)) in powers of x where psi() is a Ramanujan theta function.
A262508: Numbers that occur only once in A155043; positions of zeros in A262505, ones in A262507.
A270292: Partial sums of the number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 147", based on the 5-celled von Neumann neighborhood.
A275919: a(n) = A273059(4n+3).