Properties of the Number 10869

Ten Thousand Eight Hundred Sixty-Nine

Basics

Value: 10868 → 10869 → 10870

Parity: odd

Prime: No

Previous Prime: 10867

Next Prime: 10883

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 3623

Divisors: 1, 3, 3623, 10869

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001110101

Octal: 25165

Duodecimal: 6359

Hexadecimal: 2a75

Square: 118135161

Square Root: 104.25449630591478

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) = ∑_{k=0..floor(n/3)} (binomial(n+1, k)*binomial(2·n-3·k, n-3·k)/(n+1)). A71969

Expansion of g.f. A(x) = ∑_n=-oo..+oo xⁿ * (i + xⁿ)^2·n, where i² = -1. A363569

Triangle T(n,k) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using only steps R = (1,0), V = (0,1) and D = (3,1). A71946

Number of partitions of n such that (number parts having multiplicity 1) is not a part and (number of 1s) is not a part. A241509

Triangle read by rows giving numbers of paths in a lattice satisfying certain conditions. A71944

Semiprimes in A054567. A113692

Numbers k such that 4^k + 25 is prime. A204388

Numbers that match polynomials over {0,1} that have a factor containing 3 as a coefficient; see Comments. A208181

Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments. A208182

Denominators of continued fraction convergents to sqrt(647). A42243