### Properties of the number 8268:

8268 = 2^{2}× 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 = 2068

^{2}- 2066

^{2}= 692

^{2}- 686

^{2}= 172

^{2}- 146

^{2}= 92

^{2}- 14

^{2}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 = 14

^{2}+ 26

^{2}+ 86

^{2}is the sum of 3 positive squares.

8268

^{2}= 4800

^{2}+ 6732

^{2}= 3180

^{2}+ 7632

^{2}= 1332

^{2}+ 8160

^{2}= 4368

^{2}+ 7020

^{2}is the sum of 2 positive squares in 4 ways.

8268

^{2}is the sum of 3 positive squares.

8268 is a divisor of 1483

^{2}- 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.

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