Properties of the Number 27009

Twenty-Seven Thousand Nine

Basics

Value: 27008 → 27009 → 27010

Parity: odd

Prime: No

Previous Prime: 26993

Next Prime: 27011

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3001

Divisors: 1, 3, 9, 3001, 9003, 27009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100110000001

Octal: 64601

Duodecimal: 13769

Hexadecimal: 6981

Square: 729486081

Square Root: 164.34415109762804

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

Numbers n such that the binary expansion of n starts with the base 3 expansion of n. A178679

a(n) = n³ plus sum of digits of n³. A123135

Numbers n such that the binary expansion of n contains the base 3 expansion of n as a substring. A178680

Numbers for which the root mean square of nontrivial divisors is an integer and which are not a square of prime numbers. A247137

G.f. A(x) satisfies: 1 = ∑_n>=0 (xⁿ - A(x))ⁿ. A305135

Number of n-bead bracelets using exactly three colors with no adjacent beads having the same color. A330632

Convolution of A010060 and A000244. A101555

Number of length 4+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third. A248437

Expansion of ∑_k>=0 (x * (1 + 2^k * x))^k. A360704

Numbers n such that n⁸+8 and n⁸-8 are prime. A239503