Properties of the Number 27743

Twenty-Seven Thousand Seven Hundred Forty-Three

Basics

Value: 27742 → 27743 → 27744

Parity: odd

Prime: Yes

Previous Prime: 27739

Next Prime: 27749

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 27743

Divisors: 1, 27743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110001011111

Octal: 66137

Duodecimal: 1407B

Hexadecimal: 6c5f

Square: 769674049

Square Root: 166.5623006565411

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 n!! + 2 is prime. A76185

Primes of the form 6n² - 1. A90686

"AFK" (ordered, size, unlabeled) transform of 2,1,1,1,... A32006

Let A = A025584. a(n) is the smallest A(m) such that the interval (A(m)*n, A(m+1)*n) contains no primes from A. A207820

Primes in A161190. A161191

Matrix square, T(n,k), of Parker's partition triangle A047812, read by rows (n >= 1 and 0 <= k <= n-1). A128567

Column 2 of triangle A128567. A128569

a(n) = 24·n² - 1. A158544

Numbers n such that 4·10ⁿ + 3·R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102990

Number of cycles for the map LL:x->x²-2 acting on Z/(2ⁿ-1). A128976