Properties of the Number 33006

Thirty-Three Thousand Six

Basics

Value: 33005 → 33006 → 33007

Parity: even

Prime: No

Previous Prime: 32999

Next Prime: 33013

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5501

Divisors: 1, 2, 3, 6, 5501, 11002, 16503, 33006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000011101110

Octal: 100356

Duodecimal: 17126

Hexadecimal: 80ee

Square: 1089396036

Square Root: 181.67553495173752

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

T(n,k) = Number of (n+3) X (k+3) 0..3 arrays with every 4 X 4 subblock commuting with each horizontal and vertical neighbor 4 X 4 subblock. A186599

Number of length-n binary vectors beginning with 0, ending with 1, and avoiding 4 consecutive 0's and 4 consecutive 1's. A283834

(1/4) * number of ways to select 3 distinct points forming a triangle of unsigned area = n/2 from a square of grid points with side length n. A320310

Number of partitions of n with at most four part sizes. A364793

Numbers k such that 6!*(2·k-7)!/(k!*(k-1)!) is an integer. A4786

Determinant of power series with alternate signs of γ matrix with determinant 3!. A158046

Number of (n+3)X6 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock. A186593

The number of even permutations p of 1,2,...,n such that -1<=p(i)-i<=2 for i=1,2,...,n. A268306

Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAU = Paulingite (K2,Ca,Na2)76[Al152Si520O1344] starting with a T7 atom. A19055

Number of (n+3)X(n+3) 0..3 arrays with every 4X4 subblock commuting with each horizontal and vertical neighbor 4X4 subblock. A186590