Properties of the Number 42837

Forty-Two Thousand Eight Hundred Thirty-Seven

Basics

Value: 42836 → 42837 → 42838

Parity: odd

Prime: No

Previous Prime: 42829

Next Prime: 42839

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 109 × 131

Divisors: 1, 3, 109, 131, 327, 393, 14279, 42837

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011101010101

Octal: 123525

Duodecimal: 20959

Hexadecimal: a755

Square: 1835008569

Square Root: 206.97101246309833

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)=0, a(1)=1. A6190

Array A(n,k) = n·A(n,k-1) + A(n,k-2) read by upward antidiagonals, starting A(n,0) = 0, A(n,1) = 1. A172236

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 3 + 2·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367300

Denominators of continued fraction convergents to sqrt(13). A41019

Fixed-k dispersion for Q = 13: array D(g,h) (g, h >= 1), read by ascending antidiagonals. A120863

A skew generalized Pascal triangle. A112906

List of quadruples (r,s,t,u): the matrix M = [[4,12,9][2,5,3][1,2,1]] is raised to successive powers, then (r,s,t,u) are the square roots of M[3,1], M[3,3], M[1,1], M[1,3] respectively. A249579

List of quadruples (r,s,t,u): the matrix M = [[4,12,9][2,5,3][1,2,1]] is raised to successive negative powers, then (r,s,t,u) are the square roots of M[1,3], M[1,1], M[3,3], M[3,1] respectively. A249580

Numbers k such that 13·k² + 4 is a square. A75835

Indices where A092243 strictly changes sign. A269737