Properties of the Number 82201

Eighty-Two Thousand Two Hundred One

Basics

Value: 82200 → 82201 → 82202

Parity: odd

Prime: No

Previous Prime: 82193

Next Prime: 82207

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 11743

Divisors: 1, 7, 11743, 82201

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000100011001

Octal: 240431

Duodecimal: 3B6A1

Hexadecimal: 14119

Square: 6757004401

Square Root: 286.7071676815911

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

Number A(n,k) of paths starting at {n}^k to a border position where one component equals 0 using steps that decrement one component by 1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A210472

a(n) = ∑_k=1..n k·k!*C(n,k). A93964

a(1) = 8, a(n) = smallest number > a(n-1) such that the concatenation of a(n-1) and a(n) is a square. A265149

a(n) = 1 + ∑_i=1..n ∑_j=1..n i^j. A124405

Triangle T(n,k) read by rows, where o.g.f. for T(n,k) is n!*∑_k=0..n (1+x)^n-k/k!. A73474

Number of solutions to x² + y² + z² < n²; number of lattice points inside a sphere of radius n. A78183

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} in which the last entry of the first increasing run is equal to k (1 <= k <= n). A134433

Last terms in the rows (main diagonal) of the triangle described in A082200. A82201