Properties of the Number 3363

Three Thousand Three Hundred Sixty-Three

Basics

Value: 3362 → 3363 → 3364

Parity: odd

Prime: No

Previous Prime: 3361

Next Prime: 3371

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 59

Divisors: 1, 3, 19, 57, 59, 177, 1121, 3363

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100100011

Octal: 6443

Duodecimal: 1B43

Hexadecimal: d23

Square: 11309769

Square Root: 57.99137866959192

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

Pell-Lucas numbers: numerators of continued fraction convergents to sqrt(2). A1333

a(0) = 1, a(1) = 3; for n > 1, a(n) = 6·a(n-1) - a(n-2). A1541

a(n) = 2·n² + 1. A58331

Expansion of (1+x)/(1-2·x-x²). A78057

a(n) = 4·n² - 1. A466

a(n) = n² - 2·n. A67998

Interleave denominators (A000129) and numerators (A001333) of convergents to sqrt(2). A2965

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected and a path of 1's from top row to bottom row. A359574

Numbers such that floor(a(n)² / 8) is again a square. A204514

Table T(n,k) of the number of n X k matrices on {0,1} without adjacent 0's in any row or column. A89934