Properties of the Number 56239

Fifty-Six Thousand Two Hundred Thirty-Nine

Basics

Value: 56238 → 56239 → 56240

Parity: odd

Prime: Yes

Previous Prime: 56237

Next Prime: 56249

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 56239

Divisors: 1, 56239

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101110101111

Octal: 155657

Duodecimal: 28667

Hexadecimal: dbaf

Square: 3162825121

Square Root: 237.14763334260792

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

Pell equation solutions (3·a(n))² - 10·b(n)² = -1 with b(n) = A097315(n), n >= 0. A97314

a(1) = 2. For n>1, let s denote the binary string of a(n-1) with the leftmost 1 and following consecutive 0's removed. Then a(n) is the smallest prime not yet present whose binary representation begins with s. A262350

G.f.: A(x) = 1 + x/exp( ∑_k>=1 (A((-1)^k*x) - 1)^k/k ). A157674

Denominators of continued fraction convergents to sqrt(124). A41225

Denominators of continued fraction convergents to sqrt(496). A41947

Expansion of sqrt(1-4·x)/(1-3·x). A137720

Primes whose base-6 representation also is the base-3 representation of a prime. A235469

Convolution of (F(2), F(3), F(4), ...) and primes. A23657

Primes of the form 11·k²-11·k+7. A267290

If n = ∏_{k >= 1} (p_k)^c_k where p_k is k-th prime and c_k >= 0 then a(n) = ∑_{k >= 1} k·c_k. A56239

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