Properties of the Number 16797

Sixteen Thousand Seven Hundred Ninety-Seven

Basics

Value: 16796 → 16797 → 16798

Parity: odd

Prime: No

Previous Prime: 16787

Next Prime: 16811

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 509

Divisors: 1, 3, 11, 33, 509, 1527, 5599, 16797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110011101

Octal: 40635

Duodecimal: 9879

Hexadecimal: 419d

Square: 282139209

Square Root: 129.60324070022324

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

Dirichlet convolution of b_n=1 with Catalan numbers. A34731

a(n) = C(n) + 1 - 0ⁿ where C(n) = A000108(n). A141351

Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic. A32092

Recip transform of 2*(1 + x²)-1/(1-x). A49150

Number of Dyck n-paths with equally spaced returns. A216435

Number of n-element subsets of [n+5] having an even sum. A282081

G.f.: 1 + ∑_n>=1 xⁿ * exp( ∑_k>=1 binomial(2·n*k-1, n·k) * x^n·k/k ). A206777

Number of Young tableaux with n 10-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing). A208630

Ordered sequence of distinct terms of the form floor(xⁱ * floor(x^j)), i,j >= 0, where x = sqrt(7). A22771

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1110-0111 pattern in any orientation. A146476