Properties of the Number 81386

Eighty-One Thousand Three Hundred Eighty-Six

Basics

Value: 81385 → 81386 → 81387

Parity: even

Prime: No

Previous Prime: 81373

Next Prime: 81401

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 40693

Divisors: 1, 2, 40693, 81386

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110111101010

Octal: 236752

Duodecimal: 3B122

Hexadecimal: 13dea

Square: 6623680996

Square Root: 285.2823163114041

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

Numbers whose base-5 representation has exactly 8 runs. A43608

Number of unitary prime divisors of central binomial coefficient, C(2n,n) = A000984(n), i.e., number of those prime factors in C(2n,n), whose exponent equals one. A81386

Table read by antidiagonals: T(w,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section 2w X 2w where the walk starts at the middle of the tube. A337400

G.f. A(x) satisfies: ∑_n>=0 xⁿ * A(x)^n*(n-1/2) = 1 / ∑_n>=0 (-x)ⁿ * A(x)^n*(n+1/2). A337913