Properties of the Number 8865

Eight Thousand Eight Hundred Sixty-Five

Basics

Value: 8864 → 8865 → 8866

Parity: odd

Prime: No

Previous Prime: 8863

Next Prime: 8867

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 197

Divisors: 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10001010100001

Octal: 21241

Duodecimal: 5169

Hexadecimal: 22a1

Square: 78588225

Square Root: 94.15412895885129

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = n·prime(n). A33286

Sum of 10 nonzero 8th powers. A3388

a(n) = n·Pell(n). A93967

T(n,k)=Number of nXk binary arrays with some 1 horizontally or vertically adjacent to some other 1 exactly once. A268740

Square array, read by antidiagonals, used to recursively calculate A080635. A185416

Number of locally nonintersecting rooted trees with n nodes. A317787

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 - x/(1 - 2^k*x/(1 - 3^k*x/(1 - 4^k*x/(1 - 5^k*x/(1 - ...)))))). A290569

O.g.f.: 1/(1 - x/(1 - 2⁵*x/(1 - 3⁵*x/(1 - 4⁵*x/(1 - 5⁵*x/(1 - 6⁵*x/(1 -...))))))), a continued fraction. A337807

a(n) = Pell(n)*A109041(n) for n>=1, with a(0)=1, where A109041 lists the coefficients in η(q)⁹/η(q³)³. A209453

Leading diagonal of A083173. A83174