Properties of the Number 27587

Twenty-Seven Thousand Five Hundred Eighty-Seven

Basics

Value: 27586 → 27587 → 27588

Parity: odd

Prime: No

Previous Prime: 27583

Next Prime: 27611

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 ² × 563

Divisors: 1, 7, 49, 563, 3941, 27587

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111000011

Octal: 65703

Duodecimal: 13B6B

Hexadecimal: 6bc3

Square: 761042569

Square Root: 166.0933472478654

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) = 7*(a(n-1) - a(n-2) - a(n-3)), with a(0)=3, a(1)=7, a(2)=35. A215575

G.f. A(x) satisfies 0 = A(0) and 0 = f(x, A(x)) where f(u, v) = (u - v) * (1 + u·v) - u·v * (1 - u·v). A245735

Expansion of ∏_k>=1 (1 + x^4·k)^4·k / (1 + x^k)^k. A285295

Numbers k such that A109631(k) - A109631(k+1) = A109631(k+2). A109715

Number of binary strings of length n with no substrings equal to 0001 0111 or 1100. A164484

a(n) = (7*(cot(1*π/7))²)ⁿ + (7*(cot(2*π/7))²)ⁿ + (7*(cot(4*π/7))²)ⁿ. A287405

Number of rooted 2-connected loopless 4-regular planar maps with n inner faces. A99553

Number of 4Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1s. A297377

Sequence satisfies T²(a)=a, where T is defined below. A27587