Properties of the Number 17711

Seventeen Thousand Seven Hundred Eleven

Basics

Value: 17710 → 17711 → 17712

Parity: odd

Prime: No

Previous Prime: 17707

Next Prime: 17713

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 89 × 199

Divisors: 1, 89, 199, 17711

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010100101111

Octal: 42457

Duodecimal: A2BB

Hexadecimal: 452f

Square: 313679521

Square Root: 133.08268106707197

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

a(n) = Fibonacci(3·n + 1). A33887

a(n) = Fibonacci(4·n + 2). A33890

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

Fibonacci numbers repeated (cf. A000045). A103609

Odd Fibonacci pseudoprimes: odd composite numbers k such that either (1) k divides Fibonacci(k-1) if k == +-1 (mod 5) or (2) k divides Fibonacci(k+1) if k == +-2 (mod 5). A81264