Properties of the Number 13839

Thirteen Thousand Eight Hundred Thirty-Nine

Basics

Value: 13838 → 13839 → 13840

Parity: odd

Prime: No

Previous Prime: 13831

Next Prime: 13841

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 × 659

Divisors: 1, 3, 7, 21, 659, 1977, 4613, 13839

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000001111

Octal: 33017

Duodecimal: 8013

Hexadecimal: 360f

Square: 191517921

Square Root: 117.6392791545409

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

1 + ∑_n>=1 a_n xⁿ = ∏_n>=1 (1-xⁿ)^prime(n). A7441

The 360 degree spoke (or ray) of a hexagonal spiral of Ulam. A244803

G.f. A(x) satisfies: A(x) = 1 + x·A(x)⁸ / (1 + x). A349364

a(n) = n*(67·n - 89)/2. A263227

a(n) = 10·n² + 4·n + 1. A272039

Indices where the cumulative sum of sin(2k+1)^2k+1 reaches a record high value. A387706

a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k. A24848

Number of second differences of arrays of length 4 of numbers in 0..n. A228219

Expansion of e.g.f. (2 - exp(x))^x/2. A354239

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 39. A31537