Properties of the Number 18893

Eighteen Thousand Eight Hundred Ninety-Three

Basics

Value: 18892 → 18893 → 18894

Parity: odd

Prime: No

Previous Prime: 18869

Next Prime: 18899

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 × 2699

Divisors: 1, 7, 2699, 18893

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100111001101

Octal: 44715

Duodecimal: AB25

Hexadecimal: 49cd

Square: 356945449

Square Root: 137.45180973708568

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

Coefficients in the expansion of C³/B⁴, in Watson's notation of page 118. A160527

a(n) is the number of 5 element sets of distinct integer-sided trapezoids whose base angles are 60 degrees that fill an equilateral triangular grid of side n units formed by directly binary space partitioning 3-trapezoid sets without forming 4-trapezoid sets. A391203

a(n) = A001209(n) + 1. A196069

G.f. = b(2)*b(4)*b(6)/(x⁸+x⁷-x³-x²-x+1), where b(k) = (1-x^k)/(1-x). A266375

Number of parts in all partitions of n with largest multiplicity six. A320376

Number of nondecreasing Motzkin paths of length n. A322325

Number of length 4 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11. A254951

The growth series for the affine Coxeter (or Weyl) group [3,3,5] (or H₄). A266783

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 18. A50967

Blasius sequence: from coefficients in expansion of solution to Blasius's equation in boundary layer theory. A18893