Properties of the Number 37666

Thirty-Seven Thousand Six Hundred Sixty-Six

Basics

Value: 37665 → 37666 → 37667

Parity: even

Prime: No

Previous Prime: 37663

Next Prime: 37691

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 37 × 509

Divisors: 1, 2, 37, 74, 509, 1018, 18833, 37666

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001100100010

Octal: 111442

Duodecimal: 1996A

Hexadecimal: 9322

Square: 1418727556

Square Root: 194.07730418572905

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

Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x² + y² + z² = 3·x*y·z. A2559

a(n+1) = (a(n)² + a(n-1)²)/a(n-2), with a(1) = a(2) = a(3) = 1. A64098

Alternative version of the Markov tree A327345. A368546

G.f.: ∏_m>=1 1/(1+x^m)^A000009(m). A89254

a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime. A101042

A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime. A101043

d such that the smallest prime p for which p+d is also prime is larger than for any smaller d. A101046

Irregular triangle read by rows: Maximal numbers of the Markoff triples at level L of the Markoff tree, with members of the triples ordered increasingly. A327345

Composite Markoff numbers. A256395

Second member m₂(n) of the Markoff triple MT(n) with largest member m(n) = A002559(n), and smallest member m₁(n) = A305313(n), for n >= 1. These triples are conjectured to be unique. A305314