Properties of the Number 18738

Eighteen Thousand Seven Hundred Thirty-Eight

Basics

Value: 18737 → 18738 → 18739

Parity: even

Prime: No

Previous Prime: 18731

Next Prime: 18743

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 347

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 347, 694

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100100110010

Octal: 44462

Duodecimal: AA16

Hexadecimal: 4932

Square: 351112644

Square Root: 136.88681455859802

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) is the number of conjugacy classes in the alternating group A_n. A702

Triangle read by rows: T(n,k) is the maximum number of ways in which a set of integer-sided squares can tile an n X k rectangle, 0 <= k <= n. A362142

Number of (unordered) ways of making change for n cents using coins of 1/2, 1, 2, 3, 5, 10, 20, 25, 50, 100 cents (all historical U.S.A. coinage denominations up to 100 cents). A67997

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, with no 2-loops and with no occupancy greater than 2. A221361

Maximum number of ways in which a set of integer-sided squares can tile an n X 5 rectangle. A362146

Numbers m such that A132575(m) = A132575(m-1). A132580

a(n) counts the distinct cubical (on alphabet of 3 symbols) billiard words with length n, acting as prefix to just k = 2 such words of length n+1 (that is, a subset of "special"). A180438

a(1)=0; for n>1, a(n) = 4·n³ - 3·n² - 3·n + 4. A296363

G.f. A(x) satisfies: ∑_n>=0 A(x)⁽ⁿ⁺¹²) * xⁿ = ∑_n>=0 ((1+x)ⁿ⁺¹ + 1)ⁿ * xⁿ. A326557

Numbers k such that 159·2^k + 1 is prime. A32456