Properties of the Number 9004

Nine Thousand Four

Basics

Value: 9003 → 9004 → 9005

Parity: even

Prime: No

Previous Prime: 9001

Next Prime: 9007

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 2251

Divisors: 1, 2, 4, 2251, 4502, 9004

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001100101100

Octal: 21454

Duodecimal: 5264

Hexadecimal: 232c

Square: 81072016

Square Root: 94.88940931421166

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

Numbers that are the sum of 6 positive 7th powers. A3373

Triangle read by rows: T(n,k) = number of AVL trees of height n with k (leaf-) nodes, n>=0, fibonacci(n+2)<=k<=2ⁿ. A143897

Triangle read by columns: T(n,k) = number of AVL trees of height n with k (leaf-) nodes, k>=1, A029837(k)<=n<A072649(k). A217298

T(n,k)=Number of nXk 0..3 arrays with every 0 next to a 1, every 1 next to a 2 and every 2 next to a 3 horizontally, vertically or antidiagonally, and no adjacent values equal. A232161

Cluster series for bond percolation problem on hexagonal lattice. A3197

Number of shapes of height-balanced AVL trees with n nodes. A6265

p-INVERT of (0,0,1,2,3,4,5,...), the nonnegative integers A000027 preceded by one zero, where p(S) = 1 - S - S². A290991

Number of height minimal AVL trees with n (leaf-) nodes. A217299

Number of height maximal AVL trees with n (leaf-) nodes. A217300

Shapes of height-balanced AVL trees of height at most 5 with n nodes. A36662