Properties of the Number 29371

Twenty-Nine Thousand Three Hundred Seventy-One

Basics

Value: 29370 → 29371 → 29372

Parity: odd

Prime: No

Previous Prime: 29363

Next Prime: 29383

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 23 × 1277

Divisors: 1, 23, 1277, 29371

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001010111011

Octal: 71273

Duodecimal: 14BB7

Hexadecimal: 72bb

Square: 862655641

Square Root: 171.37969541342989

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

Number of connected induced (non-null) subgraphs of the Möbius ladder graph with 2n nodes. A286185

Expansion of e.g.f.: exp(4·z + exp(z) - 1). A45379

Array, read by antidiagonals, where A(n,k) = exp(-1)*∑_i>=0 (i+k)ⁿ/i!. A108087

Number of rectangular plane partitions of n with strictly decreasing rows and columns. A323430

a(n) = 6·F(n)*F(n+1) + (-1)ⁿ, where F = A000045. A264080

Expansion of the exponential series exp( x M(x) ) = exp( (1-sqrt(1-2x-3x²))/(2x) ), where M(x) is the ordinary generating series of the Motzkin numbers A001006. A80894

Number of binary strings of length n with no substrings equal to 0001 0010 or 1010. A164449

Number of nX7 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281468

Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0. A931

Expansion of 1/((1-x⁴)(1-x⁸)(1-x⁹)(1-x¹²)). A29371