Properties of the Number -333

Three Hundred Thirty-Three

Basics

Value: -334 → -333 → -332

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 37

Divisors: 1, 3, 9, 37, 111, 333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101001101

Octal: -515

Duodecimal: -239

Hexadecimal: -14d

Square: 110889

Square Root: 18.24828759089466

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.: Re((i·x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A292042

A Seidel matrix A(n,k) read by antidiagonals upwards. A323833

Expansion of (1-x)/(1-2·x+x²+x³). A78001

Sequence is {a(5,n)}, where a(m,n) is defined at sequence A110665. A110670

Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n). A255644

Expansion of ∏_k>=1 1/(1 + x^k/(1 + x^2·k)). A307757

Expansion of (1-x)/(1 + x² - x³). A78031

Numbers k such that 4·k + 1 is a perfect cube, sorted by absolute values. A305290

Inverse Euler transform of Thue-Morse sequence A001285. A316149

E.g.f. A(x) satisfies A(x) = 1 + 3·log(1+x) * A(log(1+x)). A355097