Properties of the Number 29834

Twenty-Nine Thousand Eight Hundred Thirty-Four

Basics

Value: 29833 → 29834 → 29835

Parity: even

Prime: No

Previous Prime: 29833

Next Prime: 29837

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 2131

Divisors: 1, 2, 7, 14, 2131, 4262, 14917, 29834

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010001010

Octal: 72212

Duodecimal: 15322

Hexadecimal: 748a

Square: 890067556

Square Root: 172.72521529875132

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 integer partitions of n without all different sums of two-element submultisets. A366753

G.f.: A(x) = exp( ∑_n>=1 A163659(n)²*xⁿ/n ), where x·exp(∑_n>=1 A163659(n)*xⁿ/n) = S(x) is the g.f. of Stern's diatomic series (A002487). A163658

Number of 9-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187514

Number of distinct length-n necklaces on a size-2 alphabet. A344779

T(n,k)=Number of n-step S, E, and NW-moving king's tours on a kXk board summed over all starting positions. A187507

A discrete version of the Mangoldt function: if n is prime then floor(log(n)) else 0. A29834

Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically. A207266