Properties of the Number 4287

Four Thousand Two Hundred Eighty-Seven

Basics

Value: 4286 → 4287 → 4288

Parity: odd

Prime: No

Previous Prime: 4283

Next Prime: 4289

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 1429

Divisors: 1, 3, 1429, 4287

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010111111

Octal: 10277

Duodecimal: 2593

Hexadecimal: 10bf

Square: 18378369

Square Root: 65.47518613948341

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

a(n) = 3·a(n-1) + a(n-2) with a(0) = 2, a(1) = 3. A6497

Number of non-unimodal sequences of length n covering an initial interval of positive integers. A328509

Number of powerful rooted trees with n nodes. A317707

Number of strict integer partitions of n whose first differences (assuming the last part is zero) are not unimodal. A332286

Numerators of continued fraction convergents to sqrt(13). A41018

Number A(n,k) of tilings of a k X n rectangle using monominoes and trominoes of any shape; square array A(n,k), n>=0, k>=0, read by antidiagonals. A270061

A sequence of asymptotic density ζ(7) - 1, where ζ is the Riemann ζ function. A143033

Numbers n such that (n⁸⁹-1)/(n-1) is prime. A217088

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to all horizontal neighbors or equal to all vertical neighbors, and new values 0..2 introduced in row major order. A238912

Triangle, columns generated from Lucas Polynomials. A117938