Properties of the Number 8009

Eight Thousand Nine

Basics

Value: 8008 → 8009 → 8010

Parity: odd

Prime: Yes

Previous Prime: 7993

Next Prime: 8011

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 8009

Divisors: 1, 8009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101001001

Octal: 17511

Duodecimal: 4775

Hexadecimal: 1f49

Square: 64144081

Square Root: 89.49301648732151

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

Primes of the form k² - k - 1. A2327

Primes that do not contain any other prime as a proper substring. A33274

Primes with first digit 8. A45714

Primes all of whose internal digits (if any) are 0. A69675

G.f. A(x) = ∑_n=-oo..+oo xⁿ * (1 + xⁿ)^2·n. A260147

Primes dividing nonzero terms in A003095: the iterates of x² + 1 starting at 0. A247981

Magnanimous primes: primes with the property that inserting a "+" in any place between two digits yields a sum which is prime. A89392

a(n) = 4·n² + 6·n + 1. A82108

Mother primes of order 6. A136065

Number of integer compositions of n whose leaders of strictly increasing runs are weakly increasing. A374690