Properties of the Number 9009

Nine Thousand Nine

Basics

Value: 9008 → 9009 → 9010

Parity: odd

Prime: No

Previous Prime: 9007

Next Prime: 9011

Digit Sum: 18

Digital Root: 9

Palindrome: Yes

Factorization: 3 ² × 7 × 11 × 13

Divisors: 1, 3, 7, 9, 11, 13, 21, 33, 39, 63

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100110001

Octal: 21461

Duodecimal: 5269

Hexadecimal: 2331

Square: 81162081

Square Root: 94.91575211733824

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

Centered cube numbers: n³ + (n+1)³. A5898

Numbers that are palindromic in bases 2 and 10. A7632

Numbers that are the sum of 11 positive 7th powers. A3378

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

Smallest multiple of n using only digits 0 and 9. A78248

Numbers k such that k and k+1 have 4 distinct prime factors. A140078

G.f.: 1/((1-x)*(1-x²))³. A38163

a(n) = binomial(n+4,4)*(4·n+5)/5. A34263

Number T(n,k) of 2n-length strings of balanced parentheses of exactly k different types that are introduced in ascending order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A253180

Triangle T(n,k) read by rows: multiply row n of Pascal's triangle (A007318) by the n-th Catalan number (A000108). A85880