Properties of the Number 29943

Twenty-Nine Thousand Nine Hundred Forty-Three

Basics

Value: 29942 → 29943 → 29944

Parity: odd

Prime: No

Previous Prime: 29927

Next Prime: 29947

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1109

Divisors: 1, 3, 9, 27, 1109, 3327, 9981, 29943

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010011110111

Octal: 72367

Duodecimal: 153B3

Hexadecimal: 74f7

Square: 896583249

Square Root: 173.04045769703686

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

T(n,k)=Rolling icosahedron face footprints: number of nXk 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge. A223282

Number of permutations of length n which avoid the patterns 4312 and 3142. A165538

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-2,0,1,2}, n=3·r+p_i, and define a(-2)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,4,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x²-1) with x=2·cos(π/9). A187502

Rolling icosahedron face footprints: number of nX7 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge. A223281

Rolling icosahedron face footprints: number of 2 X n 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge. A223283

Substring of both its square and its cube. A29943

Number of non-equivalent (mod D₃) ways to place 6 indistinguishable points on a triangular grid of side n so that no two of them are adjacent. A279446

Primes consisting of exactly three 3's, five 5's and seven 7's. A371834