Properties of the Number 9000

Nine Thousand

Basics

Value: 8999 → 9000 → 9001

Parity: even

Prime: No

Previous Prime: 8999

Next Prime: 9001

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 ³

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001100101000

Octal: 21450

Duodecimal: 5260

Hexadecimal: 2328

Square: 81000000

Square Root: 94.86832980505137

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

First differences of 10ⁿ (A011557). A52268

a(n) = 10·n². A33583

Numbers that contain only one nonzero digit. A37124

Smallest k such that φ(x) = k has exactly n solutions, n>=2. A7374

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

Numbers in which 0 outnumbers all other digits together. A292730

Number of nonzero palindromes of length n. A50683

Irregular array, read by rows: T(n,k) is the number of labeled acyclic digraphs with n nodes and k arcs (n >= 0, 0 <= k <= n*(n-1)/2). A81064

Number of ways of writing n as the sum of 10 triangular numbers from A000217. A226254

Heinz numbers of aperiodic integer partitions into relatively prime parts whose reciprocal sum is an integer. A316904