Properties of the Number 71838

Seventy-One Thousand Eight Hundred Thirty-Eight

Basics

Value: 71837 → 71838 → 71839

Parity: even

Prime: No

Previous Prime: 71837

Next Prime: 71843

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 13 × 307

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100010011110

Octal: 214236

Duodecimal: 356A6

Hexadecimal: 1189e

Square: 5160698244

Square Root: 268.0261181303046

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

Number of tilings of a sphinx of order n by elementary sphinxes (i.e., sphinxes of order 1). A279887

Coefficient of x^floor(n/2) in the expansion of (1+x+x³)ⁿ. A192440

Coefficient of xⁿ in the expansion of (1+x+x³)^2·n. A370185

G.f.: Re(1/(1 + i·x/(1 + i·x²/(1 + i·x³/(1 + i·x⁴/(1 + i·x⁵/(1 + ...))))))), a continued fraction, where i is the imaginary unit. A293268

a(n) = π(8,3)(n) + π(8,5)(n) - π(8,1)(n) - π(8,7)(n) where π(a,b)(x) denotes the number of primes in the arithmetic progression a·k + b less than or equal to x. A71838