Properties of the Number 4181

Four Thousand One Hundred Eighty-One

Basics

Value: 4180 → 4181 → 4182

Parity: odd

Prime: No

Previous Prime: 4177

Next Prime: 4201

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 37 × 113

Divisors: 1, 37, 113, 4181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001010101

Octal: 10125

Duodecimal: 2505

Hexadecimal: 1055

Square: 17480761

Square Root: 64.66065264130884

Classification

Fibonacci: Yes

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

Fibonacci numbers: F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1. A45

a(n) = 3·a(n-1) - a(n-2) for n >= 2, with a(0) = a(1) = 1. A1519

Rhombic matchstick numbers: a(n) = n*(3·n+2). A45944

a(n+2) = -a(n+1) + a(n) (signed Fibonacci numbers) with a(-2) = a(-1) = 1; or Fibonacci numbers (A000045) extended to negative indices. A39834

Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x² + y² + z² = 3·x*y·z. A2559

Expansion of (1 - x)/(1 - x - x²). A212804

a(n) = Fibonacci(3·n + 1). A33887

Dimension of 3-variable non-commutative harmonics (twisted derivative) of order n. The dimension of the space of non-commutative polynomials of degree n in 3 variables which are killed by all symmetric differential operators (where for a monomial w, d_ξ ( ξ w ) = w and d_ξ ( xj w ) = 0 for i ≠ j). A122367

Numbers that are the sum of 3 positive 5th powers. A3348

The first Fibonacci based variant of arithmetic derivative: a(p) = A000045(p) for prime p, a(u·v) = a(u)*v + u·a(v), with a(0) = a(1) = 0. A328845