Properties of the Number 29871

Twenty-Nine Thousand Eight Hundred Seventy-One

Basics

Value: 29870 → 29871 → 29872

Parity: odd

Prime: No

Previous Prime: 29867

Next Prime: 29873

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3319

Divisors: 1, 3, 9, 3319, 9957, 29871

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010101111

Octal: 72257

Duodecimal: 15353

Hexadecimal: 74af

Square: 892276641

Square Root: 172.8322886500089

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

L.g.f.: ∑_n>=1 (xⁿ/n) * ∏_d∣n (1 + n·x^d/d). A205477

Number of polyhedra formed when an n-prism, formed from two n-sided regular polygons joined by n adjacent rectangles, is internally cut by all the planes defined by any three of its vertices. A338783

Expansion of 1/((1-x)(1-3x)(1-5x)(1-10x)). A21464

Let P(A) be the power set of an n-element set A. Then a(n) = the number of pairs of elements {x,y} of P(A) for which either 0) x and y are disjoint and for which either·is a subset of y or y is a subset of x, or 1) x and y are intersecting but for which·is not a subset of y and y is not a subset of x, or 2) x and y are intersecting and for which either·is a proper subset of y or y is a proper subset of x, or 3) x = y. A134168

Numbers n such that (6ⁿ-11)/5 is prime. A199165

Irregular table read by rows: The number of k-faced polyhedra, where k>=4, created when an n-prism, formed from two n-sided regular polygons joined by n adjacent rectangles, is internally cut by all the planes defined by any three of its vertices. A338801

Number of connected functions on n points with a loop of length 8. A29871