Properties of the Number 33284

Thirty-Three Thousand Two Hundred Eighty-Four

Basics

Value: 33283 → 33284 → 33285

Parity: even

Prime: No

Previous Prime: 33247

Next Prime: 33287

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 53 × 157

Divisors: 1, 2, 4, 53, 106, 157, 212, 314, 628, 8321

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000001000000100

Octal: 101004

Duodecimal: 17318

Hexadecimal: 8204

Square: 1107824656

Square Root: 182.43903091169938

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

Numbers n such that there is no square n-gonal number greater than 1. A188896

Numbers n such that n is a substring of its square (both n and n squared in base 4) (written in base 10). A18828

G.f.: ∑_n>=0 xⁿ * (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ⁺¹)ⁿ⁺¹. A324300

G.f.: ∑_n>=0 xⁿ * (1 - xⁿ⁺¹)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323695

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 260", based on the 5-celled von Neumann neighborhood. A287285

a(n) = [x^n²] ∑_m>=0 x^m * (x^m+1 + i)^m / (1 + i·x^m+1)^m+1, for n >= 0. A324301

Denominators of continued fraction convergents to sqrt(722). A42391

E.g.f.: exp( (x·exp(x) - sinh(x)) / 2 ). A346746

Number of permutations in S_n that avoid the pattern 32541. A256204

Expansion of (1-x²)/(1-3x+x²+3x³+x⁴). A101498