Properties of the Number 10082

Ten Thousand Eighty-Two

Basics

Value: 10081 → 10082 → 10083

Parity: even

Prime: No

Previous Prime: 10079

Next Prime: 10091

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 71 ²

Divisors: 1, 2, 71, 142, 5041, 10082

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101100010

Octal: 23542

Duodecimal: 5A02

Hexadecimal: 2762

Square: 101646724

Square Root: 100.40916292848975

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

Continued fraction expansion for exp( ∑_n>=1 1/(n·A003500(n)) ), where A003500(n) = (2+sqrt(3))ⁿ + (2-sqrt(3))ⁿ. A174500

a(n) = 2·prime(n)². A79704

a(n) = ∑_d∣n n!/(d!*(n/d)!). A121860

Maximum number of regions into which the plane can be divided using n (concave) quadrilaterals. A77591

2·p², for p an odd prime. A143928

T(n,k)=Number of length-(n+1) 0..k arrays with new repeated values introduced in sequential order starting with zero. A268261

Number of perfect matchings in the graph C₄ X C_n. A220864

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) = sqrt( ∏_a=1..n ∏_b=1..k (4·sin((2·a-1)*π/(2·n))² + 4·sin((2·b-1)*π/k)²) ). A341533

Twice a square but not the sum of 2 distinct squares. A81324

Number of perfect matchings in the graph C₇ X C_2n. A230033