Properties of the Number 83315

Eighty-Three Thousand Three Hundred Fifteen

Basics

Value: 83314 → 83315 → 83316

Parity: odd

Prime: No

Previous Prime: 83311

Next Prime: 83339

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 19 × 877

Divisors: 1, 5, 19, 95, 877, 4385, 16663, 83315

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010101110011

Octal: 242563

Duodecimal: 4026B

Hexadecimal: 14573

Square: 6941389225

Square Root: 288.64337858333073

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

T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order. A233098

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 595", based on the 5-celled von Neumann neighborhood. A283212

Number of Dyck paths of semilength n having no ascents of length 3. A114507

Triangle read by rows: T(n,k) is number of Dyck paths of semilength n having k ascents of length 3 (0<=k<=floor(n/3)). Also number of ordered trees with n edges that have k vertices of outdegree 3. A114506

a(n) = coefficient of xⁿ in A(x) = ∑_n>=0 C(x)ⁿ * (1 - C(x)ⁿ)ⁿ, where C(x) = x + C(x)² is a g.f. of the Catalan numbers (A000108). A357792

Number of nX7 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order. A233097

Number of 2 X n 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order. A233099

a(n) = (2·5ⁿ-(4ⁿ-2ⁿ))/2. A83315