Properties of the Number 8336

Eight Thousand Three Hundred Thirty-Six

Basics

Value: 8335 → 8336 → 8337

Parity: even

Prime: No

Previous Prime: 8329

Next Prime: 8353

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 521

Divisors: 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010010000

Octal: 20220

Duodecimal: 49A8

Hexadecimal: 2090

Square: 69488896

Square Root: 91.30169768410661

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

a(n) = floor(n*φ¹³), where φ is the golden ratio, A001622. A4928

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235301

T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal. A233958

E.g.f. C(x), where C(x·y) + i·S(x·y) = exp( i·Integral Integral C(x·y) dx dy ) such that C(x)² + S(x)² = 1. A326551

Coefficients of a special case of Poisson-Charlier polynomials. Triangle read by rows, T(n, k) for 0 <= k <= n. A137346

Sum of distinct orders of degree-n permutations. A60179

Number of distinct lines passing through 3 or more points in an n X n grid. A225606

E.g.f. C(x) + S(x), where C(x·y) + S(x·y) = exp( Integral Integral C(x·y) dx dy ) such that C(x)² - S(x)² = 1. A325290

E.g.f. C(x), where C(x·y) + S(x·y) = exp( Integral Integral C(x·y) dx dy ) such that C(x)² - S(x)² = 1. A325291

Expansion of e.g.f. -log(1 - x) * exp(2·x). A346394