Properties of the Number 33328

Thirty-Three Thousand Three Hundred Twenty-Eight

Basics

Value: 33327 → 33328 → 33329

Parity: even

Prime: No

Previous Prime: 33317

Next Prime: 33329

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 2083

Divisors: 1, 2, 4, 8, 16, 2083, 4166, 8332, 16664, 33328

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001000110000

Octal: 101060

Duodecimal: 17354

Hexadecimal: 8230

Square: 1110755584

Square Root: 182.55957931590441

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. satisfies A(x) = A(A(x)) - x² with A(0)=0. A138740

Maximal number of regions into which 5-space can be divided by n hyperspheres. A59174

Number of achiral colorings of the 30 edges of a regular dodecahedron or icosahedron using n or fewer colors. A337953

G.f. A(x) satisfies: A( x - A(x) ) = x². A276370

a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = a(3) = 1. A49934

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of (B(x)/x)^k, where B(x) is the g.f. of A213591. A384619

Number of equivalence classes of Boolean functions of n variables under action of LSD(n,2). A28407

Number of permutations of length n which avoid the patterns 132, 3421, 4231. A116725

G.f. A(x) satisfies: A( 2·x - A(x) ) = 2·x - A(x) + x². A292809

a(n) = floor(8/n). A33328