Properties of the Number 78243

Seventy-Eight Thousand Two Hundred Forty-Three

Basics

Value: 78242 → 78243 → 78244

Parity: odd

Prime: No

Previous Prime: 78241

Next Prime: 78259

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 2371

Divisors: 1, 3, 11, 33, 2371, 7113, 26081, 78243

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000110100011

Octal: 230643

Duodecimal: 39343

Hexadecimal: 131a3

Square: 6121967049

Square Root: 279.7195023590597

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

a(n) = 3·a(n-1) + a(n-2) - a(n-3) for n >= 3, a(0)=1, a(1)=2, a(2)=7. A30186

Number of matchings in graph P₁₀ X P_n. A33513

Number of configurations of the general monomer-dimer model for a 2 X 2n square lattice. A260033

Kekulé numbers for certain benzenoids. A110694

Triangle T(m,n), read by rows: Number of bipartite labeled graphs (V,E) with vertices A={a₁,...,a_m} and B={b₁,...,b_n} where for any vertex in V at most one edge in E is allowed. Additionally, an edge {a_k,b_l} is allowed only when |k-l|<=1. A187152

a(2·n) = A030186(n), a(2·n+1) = A033505(n). A365967

T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly one horizontal, diagonal and antidiagonal neighbor. A220621

Smallest multiple of n using only digits 0 and 4. A78243

Numbers k such that, taken together, the base-10 and base-b expansions of k are pandigital for some b < 10. A174596