Properties of the Number 46368

Forty-Six Thousand Three Hundred Sixty-Eight

Basics

Value: 46367 → 46368 → 46369

Parity: even

Prime: No

Previous Prime: 46351

Next Prime: 46381

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 7 × 23

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010100100000

Octal: 132440

Duodecimal: 22A00

Hexadecimal: b520

Square: 2149991424

Square Root: 215.33230133911633

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

F(2n) = bisection of Fibonacci sequence: a(n) = 3·a(n-1) - a(n-2). A1906

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

a(0) = 1, a(n) = Fibonacci(2·n). It has the property that a(n) = 1·a(n-1) + 2·a(n-2) + 3·a(n-3) + 4·a(n-4) + ... A88305

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

Even Fibonacci numbers; or, Fibonacci(3·n). A14445

a(n) = Fibonacci(n+2) - (1-(-1)ⁿ)/2. A52952

a(n) = Fibonacci(4·n). A33888

Fibonacci numbers repeated (cf. A000045). A103609

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives·numbers. A125490