Properties of the Number 27509

Twenty-Seven Thousand Five Hundred Nine

Basics

Value: 27508 → 27509 → 27510

Parity: odd

Prime: Yes

Previous Prime: 27487

Next Prime: 27527

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 27509

Divisors: 1, 27509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101101110101

Octal: 65565

Duodecimal: 13B05

Hexadecimal: 6b75

Square: 756745081

Square Root: 165.85837331892532

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) = ∑_i=0..n 2ⁱ*B(i)*binomial(n,i) where B(n) = Bell numbers A000110(n). A126390

Number of alternating strict compositions of n. Number of alternating (up/down or down/up) permutations of strict integer partitions of n. A349054

Number of pairs (y, v) of integer partitions of n where the length of v equals the number of distinct parts in y. A355385

Primes that remain prime through 4 iterations of function f(x) = 6x + 5. A23317

Numerators of continued fraction convergents to sqrt(489). A41932

Denominators of continued fraction convergents to sqrt(911). A42761

a(n) = 52·n² + 1. A158644

Seventh prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238679

Primes p = x² + y² such that x - y is a cube greater than one. A282405

Least prime of the form x²+13·n². A248409