Properties of the Number 39208

Thirty-Nine Thousand Two Hundred Eight

Basics

Value: 39207 → 39208 → 39209

Parity: even

Prime: No

Previous Prime: 39199

Next Prime: 39209

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 13 ² × 29

Divisors: 1, 2, 4, 8, 13, 26, 29, 52, 58, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001100100101000

Octal: 114450

Duodecimal: 1A834

Hexadecimal: 9928

Square: 1537267264

Square Root: 198.01010075246163

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

Schroeder's fourth problem; also series-reduced rooted trees with n labeled leaves; also number of total partitions of n. A311

Triangle read by rows: T(n,k) is the number of lone-child-avoiding rooted trees with n leaves of exactly k colors. A319376

Triangle read by rows: T(n,k) is the number of homeomorphically irreducible leaf colored trees with n leaves using exactly k colors. A339780

G.f.: ∏_n>=1 (1 - A002203(n)*xⁿ + (-1)ⁿ*x^2·n) where A002203(n) is the companion Pell numbers. A204382

Irregular triangular array: row n lists the numbers D, each being the discriminant of the minimal polynomial of a quadratic irrational represented by a continued fraction with period an n-tuple of 1s and 2s. A246903

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 395", based on the 5-celled von Neumann neighborhood. A287985

a(n) = (2·6ⁿ - (5ⁿ - 3ⁿ))/2. A83316

Numbers n such that φ(φ(n)) + σ(σ(n))=6·n. A246630

Triangle read by rows: number of generic n-rook placements with k rooks below the main diagonal. A269744

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99. A31597