Properties of the Number 21794

Twenty-One Thousand Seven Hundred Ninety-Four

Basics

Value: 21793 → 21794 → 21795

Parity: even

Prime: No

Previous Prime: 21787

Next Prime: 21799

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 17 × 641

Divisors: 1, 2, 17, 34, 641, 1282, 10897, 21794

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010100100010

Octal: 52442

Duodecimal: 10742

Hexadecimal: 5522

Square: 474978436

Square Root: 147.6279106402309

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

Expansion of g.f. (1-x²)/(1-x-2·x²+x³). A28495

Expansion of (1-2·x)*(1-x)/(1-5·x+6·x²-x³). A52975

Number of 12-almost primes 12ap such that 2ⁿ < 12ap <= 2ⁿ⁺¹. A120043

Number of ways to split an n-cycle into connected subgraphs all having at least 4 vertices. A306351

Maximal length of rook tour on an n X n board. A6071

Maximal length of rook tour on an n X n+2 board. A152133

Let i be in {1,2,3} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃} = {-2,0,1}, n = 2·r + p_i and define a(-2)=0. Then, a(n) = a(2·r + p_i) gives the quantity of H_7,3,0 tiles in a subdivided H_7,i,r tile after linear scaling by the factor x^r, where x = sqrt(2·cos(π/7)). A187067

Ulam's spiral (NNE spoke). A143861

Numerators of continued fraction convergents to sqrt(430). A41818

Number of consecutive prime runs of 8 primes congruent to 1 mod 4 below 10ⁿ. A92657