Properties of the Number 10946

Ten Thousand Nine Hundred Forty-Six

Basics

Value: 10945 → 10946 → 10947

Parity: even

Prime: No

Previous Prime: 10939

Next Prime: 10949

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 13 × 421

Divisors: 1, 2, 13, 26, 421, 842, 5473, 10946

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011000010

Octal: 25302

Duodecimal: 6402

Hexadecimal: 2ac2

Square: 119814916

Square Root: 104.62313319720452

Classification

Fibonacci: Yes

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

Fibonacci numbers: F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1. A45

a(n) = 3·a(n-1) - a(n-2) for n >= 2, with a(0) = a(1) = 1. A1519

a(n+2) = -a(n+1) + a(n) (signed Fibonacci numbers) with a(-2) = a(-1) = 1; or Fibonacci numbers (A000045) extended to negative indices. A39834

Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x² + y² + z² = 3·x*y·z. A2559

Expansion of (1 - x)/(1 - x - x²). A212804

Even Fibonacci numbers; or, Fibonacci(3·n). A14445

Dimension of 3-variable non-commutative harmonics (twisted derivative) of order n. The dimension of the space of non-commutative polynomials of degree n in 3 variables which are killed by all symmetric differential operators (where for a monomial w, d_ξ ( ξ w ) = w and d_ξ ( xj w ) = 0 for i ≠ j). A122367

Fibonacci numbers repeated (cf. A000045). A103609

a(n) = F(F(n)), where F is a Fibonacci number. A7570

Difference between the arithmetic mean of the neighbors of the terms and the term itself follows the pattern 0,1,2,3,4,5,... A86514