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Properties of the Number 13834

Thirteen Thousand Eight Hundred Thirty-Four

Basics

Value: 13833 → 13834 → 13835

Parity: even

Prime: No

Previous Prime: 13831

Next Prime: 13841

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 6917

Divisors: 1, 2, 6917, 13834

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11011000001010

Octal: 33012

Duodecimal: 800A

Hexadecimal: 360a

Square: 191379556

Square Root: 117.61802582937702

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

Bases b where exactly ten primes p with p < b exist such that p is a base-b Wieferich prime. A325886
Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases. A4112
Sin(n) decreases monotonically to -1. A46964
Zeckendorf expansion of n: repeatedly subtract the largest Fibonacci number you can until nothing remains. Little-endian concatenation of decimals. A35515
Number of partitions p of n such that median(p) >= multiplicity(max(p)). A240211
Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 150", based on the 5-celled von Neumann neighborhood. A279248
a(n) is the least m such that a period of the continued fraction expansion of sqrt(m) is 1,1,1,...,1,1,1,Z and there are n ones in the period (Z is 2·floor(sqrt(m))). If no such m exists, a(n) = 0. A71296
a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/cos(n) > a(k)/cos(a(k)), so that a(1)/cos(a(1)) > a(2)/cos(a(2)) > ... > a(k)/cos(a(k)) > ... A172446
Smallest base b such that there exist exactly n Wieferich primes (primes p satisfying bp-1 == 1 (mod p2)) less than b. A255901
Least a(n) such that the period of continued fraction for sqrt(a(n)) has at least n successive 1's. A60215