Properties of the Number 18136

Eighteen Thousand One Hundred Thirty-Six

Basics

Value: 18135 → 18136 → 18137

Parity: even

Prime: No

Previous Prime: 18133

Next Prime: 18143

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 2267

Divisors: 1, 2, 4, 8, 2267, 4534, 9068, 18136

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011011011000

Octal: 43330

Duodecimal: A5B4

Hexadecimal: 46d8

Square: 328914496

Square Root: 134.6699669562594

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

T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222500

T(n,k) = Number of n X k 0..3 arrays with exactly floor(n X k/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..3 order. A222275

The 60-degree spoke (or ray) of a hexagonal spiral of Ulam. A244802

Expansion of ∏_k>0 ((1-x^5k-2) * (1-x^5k-3)/((1-x^5k-1) * (1-x^5k-4)))⁴ in powers of x. A285444

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_{j=0..floor(n/2)} (k/2)^j * (j+1)^n-j-1 / (j! * (n-2·j)!). A362377

Number of connected (3,n)-hypergraphs (without empty edges). A114935

Number of rooted trees with n nodes such that no more than two subtrees corresponding to children of any node have the same number of nodes. A213920

E.g.f. satisfies A(x) = exp(x + 3·x²/2·A(x)). A362380

a(n) is the number of vertices formed by n-secting the angles of a nonagon (enneagon). A335782

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined below in Comments. A192421