Properties of the Number 9003

Nine Thousand Three

Basics

Value: 9002 → 9003 → 9004

Parity: odd

Prime: No

Previous Prime: 9001

Next Prime: 9007

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 3001

Divisors: 1, 3, 3001, 9003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100101011

Octal: 21453

Duodecimal: 5263

Hexadecimal: 232b

Square: 81054009

Square Root: 94.88413987595608

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

Expansion of 1/(1 - 2·x - x² - x³). A77939

Numbers k that, when expressed in base 6 and then interpreted in base 9, give a multiple of k. A62939

Matrix square of triangle A136220, read by rows. A136225

Number of permutations of {1..n} with all distinct lengths of maximal runs (increasing by 1). A384891

Number of edges in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. A357008

Number of unlabeled 3-trees on n vertices. A78792

Expansion of 1/(1 + 2·x - x² + x³). A77986

The Matula number of the rooted tree obtained from the rooted tree T having Matula number n by replacing each edge of T with a path of length 2. A257538

Numbers n such that n¹⁰²⁴ + (n+1)¹⁰²⁴ is prime. A274234

Expansion of (1/(1 - x))* ∏_k>=1 (1 + x^k)/(1 + x^3·k). A304632