Properties of the Number 18996

Eighteen Thousand Nine Hundred Ninety-Six

Basics

Value: 18995 → 18996 → 18997

Parity: even

Prime: No

Previous Prime: 18979

Next Prime: 19001

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1583

Divisors: 1, 2, 3, 4, 6, 12, 1583, 3166, 4749, 6332

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101000110100

Octal: 45064

Duodecimal: ABB0

Hexadecimal: 4a34

Square: 360848016

Square Root: 137.8259772321604

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

G.f.: ∏_{n >= 0} (1+x²ⁿ⁺¹)/(1-x²ⁿ⁺¹). A80054

Number of n-node rooted trees with nodes of 2 colors. A38055

Number of ways to split a strict integer partition of n into contiguous subsequences all having different sums. A336132

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300973

Expansion of theta₃(q) / theta₃(q²) in powers of q. A80015

Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan θ function. A108494

Expansion of φ(-q) / φ(q²) in powers of q where φ() is a Ramanujan θ function. A210030

Positions of the incrementally largest terms in the continued fraction for Khinchin's constant. A54870

Triangle T(n,t) read by rows: number of rooted forests with n 2-colored nodes and t rooted trees. A271878

E.g.f. satisfies A(x) = (exp(x·exp(A(x))) - 1) * exp(A(x)). A357346