Properties of the Number 5338

Five Thousand Three Hundred Thirty-Eight

Basics

Value: 5337 → 5338 → 5339

Parity: even

Prime: No

Previous Prime: 5333

Next Prime: 5347

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 17 × 157

Divisors: 1, 2, 17, 34, 157, 314, 2669, 5338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011011010

Octal: 12332

Duodecimal: 310A

Hexadecimal: 14da

Square: 28494244

Square Root: 73.06161783043132

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

Number of n-vertex labeled simple graphs with the same number of edges as covered vertices. A367862

Coordination sequence for (2,5,7) tiling of hyperbolic plane. A265066

T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 n X k array. A218064

T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal. A232335

Number of orbits of length n under the automorphism of the 3-torus whose periodic points are counted by A001945. A60169

T(n,k) = number of n X k 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,2 for x=0,1,2,3,4. A197242

Take pairs (x,y) with ∑_{j = x..y} j = concatenation of·and y. Sort pairs on y then x. This sequence gives·of each pair. A70152

Even numbers not divisible by 3 which are not of the form p + 3^x with p prime. A282430

Constant term in the reduction by (x² -> x + 1) of the polynomial p(n,x) given in Comments. A192878

G.f.: ∏_{k>=1, j>=1} 1/(1 - x^k·j)². A320236