Properties of the Number 13835

Thirteen Thousand Eight Hundred Thirty-Five

Basics

Value: 13834 → 13835 → 13836

Parity: odd

Prime: No

Previous Prime: 13831

Next Prime: 13841

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 2767

Divisors: 1, 5, 2767, 13835

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000001011

Octal: 33013

Duodecimal: 800B

Hexadecimal: 360b

Square: 191407225

Square Root: 117.62227680163312

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

Expansion of sqrt(1-4x)/(1-x). A106191

a(n) = ∑_{k=0..floor(2·n/5)} binomial(k+1,2·n-5·k). A390020

Expansion of 1 / ((1-x)⁵ - x⁶). A390045

Number of compositions of 6·n-1 into parts 5 and 6. A373961

Imbalance of the number of parts of all partitions of n. A194796

Number of equivalence classes of ballot paths of length n for the string ddd. A274111

Solution (a(n)) of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n); see Comments. A305129

a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution 4th power of A010054, which has the g.f.: ∑_k>=0 x^k*(k+1/2). A109415

Integers of the form 4n+3 for which ∑_i=1..u J(i,4n+3) obtains value zero exactly 7 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol. A166057

Erroneous version of A271811 (but for odd primes only). A271664