Properties of the Number 3333

Three Thousand Three Hundred Thirty-Three

Basics

Value: 3332 → 3333 → 3334

Parity: odd

Prime: No

Previous Prime: 3331

Next Prime: 3343

Digit Sum: 12

Digital Root: 3

Palindrome: Yes

Factorization: 3 × 11 × 101

Divisors: 1, 3, 11, 33, 101, 303, 1111, 3333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100000101

Octal: 6405

Duodecimal: 1B19

Hexadecimal: d05

Square: 11108889

Square Root: 57.73214009544424

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

Repdigit numbers, or numbers whose digits are all equal. A10785

Rhombic matchstick numbers: a(n) = n*(3·n+2). A45944

Doublets: base-10 representation is the juxtaposition of two identical strings. A20338

a(n) = 3*(10ⁿ - 1)/9. A2277

Pentanacci numbers with initial conditions a(0)=5, a(1)=1, a(2)=3, a(3)=7, a(4)=15. A74048

Numbers using only digits 2 and 3. A32810

Numbers whose base-10 expansion has no run of digits with length < 2. A33023

Convolution of nonzero squares A000290 with themselves. A33455

Number of free poly-[3³.4²]-tiles (polyhouses) (holes allowed) with n cells. A197156

Numbers with digits 3 and 4 only. A32834