Properties of the Number 20793

Twenty Thousand Seven Hundred Ninety-Three

Basics

Value: 20792 → 20793 → 20794

Parity: odd

Prime: No

Previous Prime: 20789

Next Prime: 20807

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 239

Divisors: 1, 3, 29, 87, 239, 717, 6931, 20793

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000100111001

Octal: 50471

Duodecimal: 10049

Hexadecimal: 5139

Square: 432348849

Square Root: 144.19778084284098

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

Schroeder's second problem (generalized parentheses); also called super-Catalan numbers or little Schroeder numbers. A1003

Triangle of numbers S(x,y) = number of lattice paths from (0,0) to (x,y) that use step set { (0,1), (1,0), (2,0), (3,0), ....} and never pass below y = x. A11117

Triangle read by rows: T(n,k) is number of Schroeder paths of length 2n and having k peaks at height 1, for 0 <= k <= n. A104219

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = (-1)ⁿ * ∑_j=0..n (-2)^j * binomial(n,j) * binomial(k·n+j+1,n)/(k·n+j+1). A336573

Table T(n,k), n>=0 and k>=0, read by antidiagonals: the k-th column given by the k-th Narayana polynomial. A8550

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..1 nXk array. A218426

Square array of Narayana polynomials N_n evaluated at the integers, A(n,k) = N_n(k), n>=0, k>=0, read by antidiagonals. A243631

Signed super-Catalan or little Schroeder numbers. A80243

Triangular array formed by the little Schröder numbers s(n,k). A110440

Numbers k such that k and 2·k, taken together are pandigital. A115922