Properties of the Number 38112

Thirty-Eight Thousand One Hundred Twelve

Basics

Value: 38111 → 38112 → 38113

Parity: even

Prime: No

Previous Prime: 38083

Next Prime: 38113

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 397

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010011100000

Octal: 112340

Duodecimal: 1A080

Hexadecimal: 94e0

Square: 1452524544

Square Root: 195.22294947059888

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 rows and columns lexicographically nondecreasing read forwards and nonincreasing read backwards. A201981

Expansion of f(-x, -x⁷) / f(-x, -x) in powers of q where f(, ) is Ramanujan's general θ function. A132212

Number of n X 3 0..3 arrays with rows and columns lexicographically nondecreasing read forwards and nonincreasing read backwards. A201976

Number of n X 5 0..3 arrays with rows and columns lexicographically nondecreasing read forwards and nonincreasing read backwards. A201978

Values of continued fraction for π/2 associated with the records in A096464. A96731

Triangle read by rows: T(n,k) = 2^k*A123125(n,k). A141660

a(n) = T(2n,n), where T(n,k) is in A037027. A38112

G.f.: A(x) satisfies: A(x) = ∑_n>=0 xⁿ * (1+x)^n*(n+1) / A(x)ⁿ. A320951

Number of nX2 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A279301