Number of the day: 8268

Properties of the number 8268:

8268 = 2² × 3 × 13 × 53 is the 7231^th composite number and is not squarefree.
8268 has 4 distinct prime factors, 24 divisors, 11 antidivisors and 2496 totatives.
8268 = 2068² - 2066² = 692² - 686² = 172² - 146² = 92² - 14² is the difference of 2 nonnegative squares in 4 ways.
8268 is the sum of 2 positive triangular numbers.
8268 is the difference of 2 positive pentagonal numbers in 1 way.
8268 = 14² + 26² + 86² is the sum of 3 positive squares.
8268² = 4800² + 6732² = 3180² + 7632² = 1332² + 8160² = 4368² + 7020² is the sum of 2 positive squares in 4 ways.
8268² is the sum of 3 positive squares.
8268 is a divisor of 1483² - 1.
8268 is palindromic in (at least) the following bases: -22, and -57.
8268 in base 21 = iff and consists of only the digits 'f' and 'i'.
8268 in base 52 = 330 and consists of only the digits '0' and '3'.

The number 8268 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A068628: Numbers occurring twice in A068627.
A114615: Starting numbers for which the RATS sequence has eventual period 14.
A125775: Numbers n such that (5^n mod n) = (5^n mod n^2).
A127092: Numbers n such that n^2 divides 11^n-1.
A127105: Numbers n such that n^2 divides 5^n-1.
A127699: Length of period of the sequence (1^1^1^..., 2^2^2^..., 3^3^3^..., 4^4^4^..., ...) modulo n.
A184604: T(n,k) = 1/4 the number of (n+1) X (k+1) binary arrays with equal numbers of 2 X 2 subblocks with sums 1 and 3.
A226492: a(n) = n*(11*n-5)/2.
A266005: Numbers n = p_1^s_1...p_m^s_m such that (p_i^s_i - 1) | n for all 0<i<=m.
A271054: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 259", based on the 5-celled von Neumann neighborhood.