Properties of the Number 82408

Eighty-Two Thousand Four Hundred Eight

Basics

Value: 82407 → 82408 → 82409

Parity: even

Prime: No

Previous Prime: 82393

Next Prime: 82421

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 10301

Divisors: 1, 2, 4, 8, 10301, 20602, 41204, 82408

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000111101000

Octal: 240750

Duodecimal: 3B834

Hexadecimal: 141e8

Square: 6791078464

Square Root: 287.0679362102288

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

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,2,1,0,3 for x=0,1,2,3,4. A197207

E.g.f. W = W(x,m) satisfies: W = E(x·W,m) where E(x,m) = cn(i·x,m) - i·sn(i·x,m), with sn(x,m) and cn(x,m) being Jacobi elliptic functions, read as an irregular triangle of coefficients T(n,k) of xⁿ*m^k for n>=0 and k=0..[n/2]. A290580

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,3 for x=0,1,2,3,4. A197203

Number of nX5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,3 for x=0,1,2,3,4. A197204

Least k such that the continued fraction for n/k contains no element > 2. A82408