Properties of the Number 83009

Eighty-Three Thousand Nine

Basics

Value: 83008 → 83009 → 83010

Parity: odd

Prime: Yes

Previous Prime: 83003

Next Prime: 83023

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 83009

Divisors: 1, 83009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010001000001

Octal: 242101

Duodecimal: 40055

Hexadecimal: 14441

Square: 6890494081

Square Root: 288.11282512238154

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

Number of length n arrays of permutations of 0..n-1 with each element moved by -1 to 1 places and every four consecutive elements having its maximum within 4 of its minimum. A263710

Primes p such that both prevprime(p²) - 2 and nextprime(p²) + 2 are also primes. A226986

The Matula-Goebel numbers of the rooted trees that have palindromic Wiener polynomials. A198322

Primes such that x¹⁶ = 2 has a solution in Z/pZ, but x³² = 2 does not. A373468

Number of Baxter permutations of length n (also called Baxter numbers). A1181

Number of rooted planar bridgeless cubic maps with 2n nodes. A309

a(n) = ∑_k=0,n-1 5^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number. A83009

Number of standard Young tableaux with n cells without a succession v, v+1 in a row. A237770

Number A(n,k) of n X k nonconsecutive tableaux; square array A(n,k), n>=0, k>=0, read by antidiagonals. A214021

Number of 4 X n nonconsecutive tableaux. A214875