Properties of the Number 8339

Eight Thousand Three Hundred Thirty-Nine

Basics

Value: 8338 → 8339 → 8340

Parity: odd

Prime: No

Previous Prime: 8329

Next Prime: 8353

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 31 × 269

Divisors: 1, 31, 269, 8339

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010010011

Octal: 20223

Duodecimal: 49AB

Hexadecimal: 2093

Square: 69538921

Square Root: 91.31812525451889

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

Discriminants of imaginary quadratic fields with class number 26 (negated). A351664

Irregular array read by rows. a(n) is the largest element in the primitive Collatz-like 3x-k cycle associated with A226623(n). A226624

Composite numbers k coprime to 8 such that k divides Pell(k - Kronecker(8,k)), Pell = A000129. A327651

Composite numbers k such that Pell(k) == 1 (mod k). A319042

Triangle in which row n has n semiprimes such that (p+1)(q+1) is the same for each semiprime pq and (p+1)(q+1) is as small as possible. A180333

Expansion of ∑_k>=1 (k*(5·k - 3)/2)*x^k/(1 - x^k). A278947

Numbers n such that n² + (n+1)² + (n+2)² is palindromic. A27573

Numbers k such that φ(k) divides σ(k+1) + σ(k). A67246

G.f.: A(x) = ( G(x)¹¹ - G(x¹¹) - 11·x*((1-x¹⁰)/(1-x))/(1-x¹¹) )/(121·x²) where G(x) is the g.f. of A110644. A111585

Number of (n+2) X 3 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order. A184540