Properties of the Number 12806

Twelve Thousand Eight Hundred Six

Basics

Value: 12805 → 12806 → 12807

Parity: even

Prime: No

Previous Prime: 12799

Next Prime: 12809

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 19 × 337

Divisors: 1, 2, 19, 38, 337, 674, 6403, 12806

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000000110

Octal: 31006

Duodecimal: 74B2

Hexadecimal: 3206

Square: 163993636

Square Root: 113.16359838746733

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

G.f. satisfies: A(x) = (1+x+x²) * A(x²)². A237651

Number of non-equivalent ways to choose three points in an equilateral triangle grid of side n. A230723

Number of partitions of n into prime power parts (not including 1) that do not divide n. A300580

McKay-Thompson series of class 42A for Monster. A58671

Number of n X n symmetric 0..7 arrays with no element equal to any horizontal or vertical neighbor and with new values 0..7 introduced in lower triangular row major order. A193273

Number of n X 4 0..1 arrays with rows and columns lexicographically nondecreasing read forwards, and nonincreasing read backwards. A201371

Square array, read by rows. For n,d >= 0, a(n,d) is the number of congruences of the d-twisted partition monoid of degree n. A340914

a(n) = 13·n² + 10·n + 3. A387659

Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 4 ones in any 3 X 3 X 3 subtriangle. A153931

Genocchi numbers (of first kind): expansion of 2·x/(exp(x)+1). A36968