Properties of the Number -1286

Two Hundred Eighty-Six

Basics

Value: -1287 → -1286 → -1285

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 643

Divisors: 1, 2, 643, 1286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10100000110

Octal: -2406

Duodecimal: -8B2

Hexadecimal: -506

Square: 1653796

Square Root: 35.86084215408221

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

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 8. A60027

Triangle read by rows: n-th row (n>=0) gives coefficients of characteristic polynomial of n X n generalized Cartan matrix M defined in Comments. A136678

a(n) = ∑_{k=0..floor(n/10)} (-1)^k * binomial(n-5·k,5·k). A348310

a(n) = ∑_{k=0..floor(n/8)} (-1)^k*binomial(n,8·k). A307044

G.f.: ∑_n=-oo..+oo xⁿ * (1 - xⁿ)^3·n. A268298

Number of reduced words of length n in the Weyl group D₁₂. A162297

Number of solutions to c(1)*prime(1) +...+ c(2n+1)*prime(2n+1) = 0, where c(i) = +-1 for i > 1, c(1) = 1. A22894

Q-toothpick sequence (see Comments for precise definition). A187210

Numbers that are the sum of 11 positive 8th powers. A3389

Number of integer partitions of n without choosable initial intervals. A387118