Properties of the Number 81846

Eighty-One Thousand Eight Hundred Forty-Six

Basics

Value: 81845 → 81846 → 81847

Parity: even

Prime: No

Previous Prime: 81839

Next Prime: 81847

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 4547

Divisors: 1, 2, 3, 6, 9, 18, 4547, 9094, 13641, 27282

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011111110110110

Octal: 237666

Duodecimal: 3B446

Hexadecimal: 13fb6

Square: 6698767716

Square Root: 286.0873992331714

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

Start with a single pentagon; at n-th generation add a pentagon at each expandable vertex (this is the "vertex to side" version); a(n) is the sum of all label values at n-th generation. (See comment for construction rules.) A247904

G.f.: ∑_n>=0 xⁿ * (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹. A324300

G.f.: ∑_n>=0 xⁿ * (1 - xⁿ⁺¹)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323695

Maximal element in the continued fraction for (1/n)*∑_k>=0 1/2^{2^k}. A81846