Properties of the Number 83215

Eighty-Three Thousand Two Hundred Fifteen

Basics

Value: 83214 → 83215 → 83216

Parity: odd

Prime: No

Previous Prime: 83207

Next Prime: 83219

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 11 × 17 × 89

Divisors: 1, 5, 11, 17, 55, 85, 89, 187, 445, 935

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010100001111

Octal: 242417

Duodecimal: 401A7

Hexadecimal: 1450f

Square: 6924736225

Square Root: 288.470102436977

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

Rhombic dodecahedral numbers: a(n) = n⁴ - (n - 1)⁴. A5917

Triangle P, read by rows, such that P² transforms column k of P into column k+1 of P, so that column k of P equals column 0 of P^2·k+1, where P² denotes the matrix square of P. A113340

Fibonomial coefficients: a(n) = F(n+1) * F(n+2) * F(n+3)/2, where F() = Fibonacci numbers A000045. A1655

Matrix cube of triangle A113340. A113360

Column 1 of triangle A113340, also equals column 0 of A113340³. A113341

Triangle read by rows, e.g.f. exp(x*(z+1/2))/((exp(3·x/2) + 2·cos(sqrt(3)*x/2))/3). A215060

Fibonomial coefficients. A56566

Ordered sequence of Fibonomial coefficients. A144712

Square array of numbers associated to the recurrences b(k) = b(k-1) + n·b(k-2); array T(n,k), read by descending antidiagonals, for n, k >= 0. A110112

Ordered Fibonomial coefficients (A144712) which are not Fibonacci numbers (A000045). A171159