Properties of the Number 16796

Sixteen Thousand Seven Hundred Ninety-Six

Basics

Value: 16795 → 16796 → 16797

Parity: even

Prime: No

Previous Prime: 16787

Next Prime: 16811

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 13 × 17 × 19

Divisors: 1, 2, 4, 13, 17, 19, 26, 34, 38, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110011100

Octal: 40634

Duodecimal: 9878

Hexadecimal: 419c

Square: 282105616

Square Root: 129.59938271457932

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

Catalan numbers: C(n) = binomial(2n,n)/(n+1) = (2n)!/(n!(n+1)!). A108

Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089864. A89408

Triangle formed from odd-numbered columns of triangle of expansions of powers of·in terms of Chebyshev polynomials U_n(x). Sometimes called Catalan's triangle. A39598

Catalan numbers (A000108) interpolated with 0's. A126120

Carlitz-Riordan q-Catalan numbers (recurrence version) for q = -1. A90192

Triangle read by rows: T(n, k) is the number of diagonal dissections of a convex n-gon into k+1 regions. A33282

GCD of consecutive central binomial coefficients: a(n) = gcd(A001405(n+1), A001405(n)). A57977

G.f. is 1 + x·c(x), where c(x) is the g.f. of the Catalan numbers (A000108). A120588

Triangle T(n,m) = ∑_k=0..m Catalan(n-k)*Catalan(k). A28364

Catalan's triangle with right border removed (n > 0, 0 <= k < n). A30237