Properties of the Number 16809

Sixteen Thousand Eight Hundred Nine

Basics

Value: 16808 → 16809 → 16810

Parity: odd

Prime: No

Previous Prime: 16787

Next Prime: 16811

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 431

Divisors: 1, 3, 13, 39, 431, 1293, 5603, 16809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110101001

Octal: 40651

Duodecimal: 9889

Hexadecimal: 41a9

Square: 282542481

Square Root: 129.6495275733776

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

Coordination sequence for (2,3,7) tiling of hyperbolic plane. A265057

T(n,k)=Half the number of (n+1)X(k+1) binary arrays with equal numbers of majority one 2X2 subblocks and majority zero 2X2 subblocks. A184467

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317465

a(n) = 10·n² - 1. A158447

a(n) = ∑_d∣n min(d, n/d)⁵. A297795

a(n) is the number of regions formed by n-secting the angles of an octagon. A335769

a(n) is the number of multisets of n positive decimal digits where the sum of the digits equals the product of the prime digits. A384505

Half the number of (n+1)X9 binary arrays with equal numbers of majority one 2X2 subblocks and majority zero 2X2 subblocks. A184466

G.f.: A(x) = 1 + x·F(x)*G(x) where F(x) = A(x/F(x)) and G(x) = A(x·G(x)). A184509

Minimal number (in decimal representation) with n nonprime substrings in base-7 representation (substrings with leading zeros are considered to be nonprime). A217107