Properties of the Number 81384

Eighty-One Thousand Three Hundred Eighty-Four

Basics

Value: 81383 → 81384 → 81385

Parity: even

Prime: No

Previous Prime: 81373

Next Prime: 81401

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 3391

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 3391, 6782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110111101000

Octal: 236750

Duodecimal: 3B120

Hexadecimal: 13de8

Square: 6623355456

Square Root: 285.2788109902311

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

Expansion of e.g.f. log(1-log(1-x)). A89064

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. log(1 + ∑_j>=1 binomial(j+k-1,k) * x^j/j). A308497

Matrix product of unsigned Stirling1-triangle |A008275(n,k)| and Stirling1-triangle A008275(n,k). A79642

a(0)=0, a(1)=1, a(n) = a(n-1) + (a(n-2) XOR n). A182537

T(n, k) = [x^k] ∑_k=0..n |Stirling1(n, k)|*FallingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n. A325873

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

Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h X 2h X 2h where the walk starts at the center of the box. A337023

Numbers k such that binomial(prime(k), k) is divisible by k². A81384