Properties of the Number 66861

Sixty-Six Thousand Eight Hundred Sixty-One

Basics

Value: 66860 → 66861 → 66862

Parity: odd

Prime: No

Previous Prime: 66853

Next Prime: 66863

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 19 × 23

Divisors: 1, 3, 9, 17, 19, 23, 51, 57, 69, 153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010100101101

Octal: 202455

Duodecimal: 32839

Hexadecimal: 1052d

Square: 4470393321

Square Root: 258.5749407811979

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

G.f.: 1/((1-x)*(1-x²))³. A38163

a(n) = binomial(n+4,4)*(4·n+5)/5. A34263

Expansion of ψ(-q³) / f(q) where ψ(), f() are Ramanujan θ functions. A139135

a(n) = n*(n + 1)*(n + 2)*(n² - n + 4)/24. A256859

Expansion of q^-1/3 * η(q⁶)² / (η(q) * η(q³)) in powers of q. A97197

Number of minimal total dominating sets in the n X n white bishop graph. A303229

Number of minimal total dominating sets in the n X n black bishop graph. A303230

Triangle read by rows: the x = 1+q Narayana triangle at m=3. A243661

a(1) = 1; a(n) = floor {(n+1)(n+2)(n+3)...(n+k)}/{(n-1)(n-2)(n-3)...(n-k)} for the least value of k. A92935

Number of nX3 0..1 arrays with every element equal to 0, 1, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302422