Properties of the Number 8209

Eight Thousand Two Hundred Nine

Basics

Value: 8208 → 8209 → 8210

Parity: odd

Prime: Yes

Previous Prime: 8191

Next Prime: 8219

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 8209

Divisors: 1, 8209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000010001

Octal: 20021

Duodecimal: 4901

Hexadecimal: 2011

Square: 67387681

Square Root: 90.60353193998566

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

Somos-4 sequence: a(0)=a(1)=a(2)=a(3)=1; for n >= 4, a(n) = (a(n-1) * a(n-3) + a(n-2)²) / a(n-4). A6720

Next prime after 2ⁿ. A14210

Smallest prime >= 2ⁿ. A104080

Primes from merging of 4 successive digits in decimal expansion of π. A104824

First member of a prime triple in a 2p-1 progression. A57326

Primes congruent to 2 mod 29. A141978

Primes with first digit 8. A45714

Primes of the form 2ⁱ + 2^j + 1, i > j > 0. A81091

Number of integer partitions of n such that neither the run-lengths nor the negated run-lengths are unimodal. A332640

Primes p such that the multiplicative order of 2 modulo p is (p-1)/4. A1134