Properties of the Number 82721

Eighty-Two Thousand Seven Hundred Twenty-One

Basics

Value: 82720 → 82721 → 82722

Parity: odd

Prime: Yes

Previous Prime: 82699

Next Prime: 82723

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 82721

Divisors: 1, 82721

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001100100001

Octal: 241441

Duodecimal: 3BA55

Hexadecimal: 14321

Square: 6842763841

Square Root: 287.6125866508627

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

Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime. A7530

Start of a string of exactly 3 consecutive (but disjoint) pairs of twin primes. A35791

Primes at which the difference pattern X,2,4,2,Y (X and Y >= 6) occurs in A001223. A52165

Expansion of e.g.f.: exp(sin(sinh(x))). A9202

Lesser of the first pair of three successive prime pairs (no isolated primes occur in between). Least of the six successive primes which are member of prime pairs. A90953

First of six consecutive primes that are three sets of twin primes. A136143

Expansion of g.f.: 1/(1 - x - 2·x² + x³ + x⁴ + 2·x⁷ - 5·x⁹ + 2·x¹¹ + x¹⁴ + x¹⁵ - 2·x¹⁶ - x¹⁷ + x¹⁸). A147622

G.f.: exp( ∑_n>=1 A181411(n)*xⁿ/n ) where A181411(n) = ∑_k=0..n C(n,k)*σ(n+k). A181410

E.g.f. sin(sinh(sin(x))) (odd powers only). A9488

There exist no palindromic hexagonals of length n. A82721