Properties of the Number 13836

Thirteen Thousand Eight Hundred Thirty-Six

Basics

Value: 13835 → 13836 → 13837

Parity: even

Prime: No

Previous Prime: 13831

Next Prime: 13841

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1153

Divisors: 1, 2, 3, 4, 6, 12, 1153, 2306, 3459, 4612

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000001100

Octal: 33014

Duodecimal: 8010

Hexadecimal: 360c

Square: 191434896

Square Root: 117.6265276202609

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

Triangular matchstick numbers in the class of prime numbers: sum of n-th and next n primes. A105720

T(n,k) = Number of n X k 0..1 arrays with every element equal to 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299514

Expansion of c(x²)*(1+x)/(1-x), c(x) the g.f. of A000108. A155051

a(n) = 8·n³ + n. A118465

Coefficient of·in the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192753

Number of (w,x,y,z) with all terms in {1,...,n} and w·x>y·z+1. A212054

Zeroless numbers n whose digit product squared is equal to the digit product of n². A256115

Expansion of ∏_n>0 ((1-xⁿ)/(1+xⁿ))^n⁴ in powers of x. A285991

Number of 0..n arrays x(0..3) of 4 elements with zero 3rd differences. A200155

Coordination sequence for MgNi2, Position Ni1. A9933