Properties of the Number 10810

Ten Thousand Eight Hundred Ten

Basics

Value: 10809 → 10810 → 10811

Parity: even

Prime: No

Previous Prime: 10799

Next Prime: 10831

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 23 × 47

Divisors: 1, 2, 5, 10, 23, 46, 47, 94, 115, 230

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10101000111010

Octal: 25072

Duodecimal: 630A

Hexadecimal: 2a3a

Square: 116856100

Square Root: 103.97114984456024

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 3·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367297

Numbers whose sum of divisors is a fourth power. A19422

Number of tournament sequences: a(n) gives the number of n-th generation descendents of a node labeled (5) in the tree of tournament sequences. A113079

Array read by antidiagonals: T(n,k) = number of rooted n-dimensional polycubes with k cells, with no symmetries removed (n >= 1, k >= 1). A48790

Square table T, read by antidiagonals, where T(n,k) gives the number of n-th generation descendents of a node labeled (k) in the tree of tournament sequences. A93729

Greatest number m such that the fractional part of π^A153711(m) >= 1-(1/m). A153715

Greatest number m such that the fractional part of π^A153712(n) >= 1-(1/m). A153716

a(n) = n * ∑_d∣n binomial(d+3,4)/d. A343545

Denominators of rationals with e.g.f. D(3,x), a Debye function. A227571

Trajectory of 1496 under repeated application of the map defined in A053392. A328974