Properties of the Number 33327

Thirty-Three Thousand Three Hundred Twenty-Seven

Basics

Value: 33326 → 33327 → 33328

Parity: odd

Prime: No

Previous Prime: 33317

Next Prime: 33329

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 23 ²

Divisors: 1, 3, 7, 9, 21, 23, 63, 69, 161, 207

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000001000101111

Octal: 101057

Duodecimal: 17353

Hexadecimal: 822f

Square: 1110688929

Square Root: 182.55684046345675

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

Minimal exponents m such that the fractional part of (3/2)^m reaches a maximum (when starting with m=1). A153663

Positions of 3's in A264977; positions of 6's in A277330. A277713

Wiener index of a benzenoid consisting of a chain of n hexagons characterized by the encoding s = 1133 (see the Gutman et al. reference, Sec. 5). A193399

G.f.: ∑_k>=1 x^k/(1-x^k) * ∏_k>=1 1/(1-x^k)². A305119

a(n) = ∑_{k = 1..m} 2^e_k-1 where e_k = floor(log_p_k(p_k-1^e_(k-1))) such that e_k > 0. A347287

Number of independent sets of nodes in the generalized Petersen graph G(2n,2) (n>=0). A182054

The average Wiener index of the set of all fibonacenes with n hexagons. A245969

Successive record-setters in Waring's problem Diophantine inequality. A240720

Greatest number m such that the fractional part of (3/2)^A153663(n) >= 1-(1/m). A153667

a(n) = floor(7/n). A33327