Properties of the Number 33530

Thirty-Three Thousand Five Hundred Thirty

Basics

Value: 33529 → 33530 → 33531

Parity: even

Prime: No

Previous Prime: 33529

Next Prime: 33533

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 5 × 7 × 479

Divisors: 1, 2, 5, 7, 10, 14, 35, 70, 479, 958

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001011111010

Octal: 101372

Duodecimal: 174A2

Hexadecimal: 82fa

Square: 1124260900

Square Root: 183.11198759229282

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

Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A292094

G.f.: 1 / ∏_i>=1 (1-q^2·i-1)²*(1-q^12·i-8)*(1-q^12·i-6)*(1-q^12·i-4)*(1-q^12·i). A201077

Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k U H^j Us for some j>0, where U=(1,1) and H=(1,0) (can be easily expressed using RNA secondary structure terminology). A97777

[ n(n-1)(n-2)(n-3)/17 ]. A11927

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8. A252010

Numbers k such that Bernoulli number B_k has denominator 4686. A295770

The absolute value of A161361(n)/(n+1). A161619

Period of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ. A292091

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8. A252015

Preperiod (or threshold) of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ. A292090