Properties of the Number 82321

Eighty-Two Thousand Three Hundred Twenty-One

Basics

Value: 82320 → 82321 → 82322

Parity: odd

Prime: No

Previous Prime: 82307

Next Prime: 82339

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 191 × 431

Divisors: 1, 191, 431, 82321

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100000110010001

Octal: 240621

Duodecimal: 3B781

Hexadecimal: 14191

Square: 6776747041

Square Root: 286.9163641202781

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

Least number to start a run of exactly n nondecreasing values of little ω (A001221). A286287

a(n) = n! * ∑_{k=0..floor(n/3)} (n - 3·k)^k/(n - 3·k)!. A356629

a(n) = n! * ∑_{k=0..floor(n/4)} k^k / (k! * (n-4·k)!). A362349

Fourth row of Pascal-(1,3,1) array A081578. A81586

E.g.f. satisfies A(x) = exp(x·A(x)^x²). A362571

a(n) = (4·n³ - 6·n² + 14·n + 3)/3. A321124

Number of n X 4 0..1 arrays with every element unequal to 1, 2, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A305178

a(n) is the smallest number k such that the number of distinct prime divisors of the n numbers from k through k+n-1 are in nondescending order. A364805

Numbers n such that n | sigma₁₂(n) + φ(n)¹². A55706

Number of ways to place 3 nonattacking nightriders on an n X n board. A173429