Properties of the Number 13333

Thirteen Thousand Three Hundred Thirty-Three

Basics

Value: 13332 → 13333 → 13334

Parity: odd

Prime: No

Previous Prime: 13331

Next Prime: 13337

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 67 × 199

Divisors: 1, 67, 199, 13333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000010101

Octal: 32025

Duodecimal: 7871

Hexadecimal: 3415

Square: 177768889

Square Root: 115.46861045323097

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

Pseudoprimes to base 5. A5936

Euler pseudoprimes to base 5: composite integers such that abs(5^{(n - 1}/2)) == 1 mod n. A262052

Expansion of g.f. (1+2·x)/((1-x)*(1-10·x)). A97166

Odd octagonal numbers: (2n+1)*(6n+1). A14641

Numbers having only digits 1 and 3 in their decimal representation. A32917

T(n,k)=Number of nXk -1,1 arrays such that the sum over i=1..n,j=1..k of i·x(i,j) is zero and rows are nondecreasing (ways to put k thrusters pointing east or west at each of n positions 1..n distance from the hinge of a south-pointing gate without turning the gate). A225310

Number of isomorphism classes of non-associative non-commutative non-anti-associative anti-commutative closed binary operations on a set of order n, listed by class size. A79203

Odd numbers k > 1 such that gcd(5,k) = 1 and 5^(k-1/2) == -(5/k) (mod k), where (5/k) is the Jacobi symbol (or Kronecker symbol); Euler pseudoprimes to base 5 (A262052) that are not Euler-Jacobi pseudoprimes to base 5 (A375914). A375816

Numbers that are the sum of eight fourth powers in seven or more ways. A345582

Numbers that are the sum of eight fourth powers in exactly seven ways. A345839