Properties of the Number 82260

Eighty-Two Thousand Two Hundred Sixty

Basics

Value: 82259 → 82260 → 82261

Parity: even

Prime: No

Previous Prime: 82241

Next Prime: 82261

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 457

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000101010100

Octal: 240524

Duodecimal: 3B730

Hexadecimal: 14154

Square: 6766707600

Square Root: 286.81004166521086

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

Number of tilings of an equilateral triangle of side length n with unit triangles (of side length 1) and exactly two unit "lozenges" or "diamonds" (also of side length 1). A326367

a(n) is the least k >= 1 such that n + k² is the digit reversal of a square. A393287

Numbers k such that k and k² use only the digits 0, 2, 6, 7 and 8. A136922

Molecular topological indices of the crossed prism graphs. A192793

Number of (n+1) X 4 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors. A206262

Multiplicity of highest weight (or singular) vectors associated with character chi₂₁ of Monster module. A34409

a(n) = n-th multiple of n with digit sum n. A82260

E.g.f. A(x) satisfies: A(A(A(x))) = 2·x*A'(x) - A(x), where A(x) = ∑_n>=1 a(n)*xⁿ, with a(1)=1, a(2)=2. A193264

E.g.f. A(x) = G(x)/x where G(x) satisfies: G(G(G(x))) = 2·x*G'(x) - G(x). A193265