Properties of the Number 82021

Eighty-Two Thousand Twenty-One

Basics

Value: 82020 → 82021 → 82022

Parity: odd

Prime: Yes

Previous Prime: 82013

Next Prime: 82031

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 82021

Divisors: 1, 82021

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100000001100101

Octal: 240145

Duodecimal: 3B571

Hexadecimal: 14065

Square: 6727444441

Square Root: 286.3930865087354

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

Value of prime number D for incrementally largest values of minimal·satisfying the equation x² - D·y² = -3. A336801

Value of prime number D for incrementally largest values of minimal y satisfying the equation x² - D·y² = -3. A341077

Primes p such that if q and r are the next two primes, (p - 1)² + 1, (q - 1)² + 1 and (r - 1)² + 1 are all prime. A376605

Primes with 22 as smallest positive primitive root. A61334

Smallest prime p == 5 mod 8 (A007521) and p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2). A96639

Primes in A284798. A372770

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 38. A31626

Least solution to the Pellian equation x² - k·y² = 1 (A002349) such that 2²^n < y <= 2²ⁿ⁺¹. A99194

a(0) = 7; for n > 0, a(n) is the greatest prime factor of PP(PP(a(n-1)))*a(n-1)+2 where PP(n) is an abbreviation for PreviousPrime(n). A82021