Properties of the Number 27811

Twenty-Seven Thousand Eight Hundred Eleven

Basics

Value: 27810 → 27811 → 27812

Parity: odd

Prime: No

Previous Prime: 27809

Next Prime: 27817

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 29 × 137

Divisors: 1, 7, 29, 137, 203, 959, 3973, 27811

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110010100011

Octal: 66243

Duodecimal: 14117

Hexadecimal: 6ca3

Square: 773451721

Square Root: 166.7663035508073

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) is the number of subsets of {1,...,n} containing no solutions to x+y=z with·and y distinct (one version of "sum-free subsets"). A85489

4-dimensional analog of centered polygonal numbers. Also number of regions created by sides and diagonals of a convex n-gon in general position. A6522

Triangle read by rows: T(n,k) is the number of connected graphs with n nodes and degeneracy k, 0 <= k < n. A352067

0 together with numbers k such that 8·R_k - 7 is a prime, where R_k = 11...1 is the repunit (A002275) of length k. A99421

Number of regions in a polygon whose boundary consists of n+2 equally spaced points around the arc of a semicircle. See Comments for precise definition. A333643

T(3n,2n), where T is the array in A047110. A127167

Expansion of (17-25·x-23·x²+133·x³)/(1-x)⁴. A118587

Numbers k such that (85·10^k - 1)/3 is prime. A289942

Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of these n·k points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of regions in the resulting planar graph. A367304

a(n) = 3*(n+1)*binomial(n+5,6). A27811