Properties of the Number 27585

Twenty-Seven Thousand Five Hundred Eighty-Five

Basics

Value: 27584 → 27585 → 27586

Parity: odd

Prime: No

Previous Prime: 27583

Next Prime: 27611

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 613

Divisors: 1, 3, 5, 9, 15, 45, 613, 1839, 3065, 5517

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111000001

Octal: 65701

Duodecimal: 13B69

Hexadecimal: 6bc1

Square: 760932225

Square Root: 166.0873264279969

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 solutions to c(1)*prime(1)+...+c(2n)*prime(2n) = -1, where c(i) = +-1 for i > 1, c(1) = 1. A261061

Numbers k such that k and 3·k are anagrams. A23087

Trajectory of 3 under map n->7n-1 if n odd, n->n/2 if n even. A63871

E.g.f. satisfies: A'(x) = 1/(1 - x·A(x))³ with A(0)=1. A238302

Number of partitions p of n such that (number of numbers in p of form 3k) = (number of numbers in p of form 3k+1). A241744

Number of black and white n-bead necklaces with at least 3 white beads (turning over is not allowed); also number of clockwise arrangements of reflex and non-reflex angles that can form an n-gon. A262232

Expansion of f(x³, x⁹) * f(x⁶, x⁶) / f(-x, -x²) in powers of·where f(,) is Ramanujan's general θ function. A257655

Number of 2 X 2 matrices with all elements in {-n,..,0,..,n} with determinant = 2·permanent. A280343

Maximal coefficient of (1 + x³) * (1 + x⁵) * (1 + x⁷) * ... * (1 + x^prime(n)). A369708

Number of noninvertible 2 X 2 matrices over Z/nZ (determinant is a divisor of 0). A20479