Properties of the Number 27314

Twenty-Seven Thousand Three Hundred Fourteen

Basics

Value: 27313 → 27314 → 27315

Parity: even

Prime: No

Previous Prime: 27299

Next Prime: 27329

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 1951

Divisors: 1, 2, 7, 14, 1951, 3902, 13657, 27314

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 110101010110010

Octal: 65262

Duodecimal: 13982

Hexadecimal: 6ab2

Square: 746054596

Square Root: 165.26947691573298

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

Convolution of Catalan numbers A000108 with A038845. A42941

Relative of Hofstadter Q-sequence: a(n) = max(0, n+27298) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283888

G.f. A(x) satisfies A(x) = (1 + x / (1 - x·A(x))²)². A365120

A triangle related to A000108 (Catalan) and A000302 (powers of 4). A46527

Numbers n such that (n+1)*10ⁿ - 1 is prime. A174352

Number of integers in n-th generation of tree T(-2/3) defined in Comments. A274150

Interprimes which are of the form s·prime, s=14. A75289

a(n) = K₅(n) = ∑_k>=0 A090285(5,k)*2^k*binomial(n,k). a(n) = 2*(2·n⁵+45·n⁴+360·n³+1215·n²+1528·n+315)/15. A90297

Given n, let S denote the set of numbers c₁*c₂*...*c_n where 1<=c₁<=c₂<=...<=c_n<=n; a(n) = number of members of S that have a unique representation of this form. A160375

Number of length 2+2 0..n arrays with the medians of every three consecutive terms nondecreasing. A250141