Properties of the Number 82398

Eighty-Two Thousand Three Hundred Ninety-Eight

Basics

Value: 82397 → 82398 → 82399

Parity: even

Prime: No

Previous Prime: 82393

Next Prime: 82421

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 31 × 443

Divisors: 1, 2, 3, 6, 31, 62, 93, 186, 443, 886

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100000111011110

Octal: 240736

Duodecimal: 3B826

Hexadecimal: 141de

Square: 6789430404

Square Root: 287.05051820193603

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 length n+3 0..k arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms. A250387

Number of Dyck n-paths with ascents and descents of length equal to 1 (mod 4). A23427

G.f. satisfies: A(x) = (1 + x·A(x)) * (1 + x⁴*A(x)). A216116

Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having a sum of three or less, with rows and columns of the latter in lexicographically nondecreasing order. A227265

Number of length n+3 0..4 arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms. A250383

Number of length 5+3 0..n arrays with no four consecutive terms having the maximum of any two terms equal to the minimum of the remaining two terms. A250391

Number of directed, diagonally convex polyominoes with n cells. A82398