Properties of the Number 9002

Nine Thousand Two

Basics

Value: 9001 → 9002 → 9003

Parity: even

Prime: No

Previous Prime: 9001

Next Prime: 9007

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 × 643

Divisors: 1, 2, 7, 14, 643, 1286, 4501, 9002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001100101010

Octal: 21452

Duodecimal: 5262

Hexadecimal: 232a

Square: 81036004

Square Root: 94.87887014504336

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 points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n² + 2. Also coordination sequence for f.c.c. or A₃ or D₃ lattice. A5901

Number of generalized weak orders on n points. A4123

Array read by antidiagonals: generalized ordered Bell numbers Bo(r,n). A94416

E.g.f.: ∏_n>=1 1/(1 - tanh(xⁿ/n)). A218504

T(n, k) = F(n - k, k), where F(n, x) is the Fubini polynomial. Triangle read by rows, T(n, k) for 0 <= k <= n. A344499

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 595", based on the 5-celled von Neumann neighborhood. A283213

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = ∑_i=0..k·n 2ⁱ * ∑_j=0..i (-1)^j * binomial(i,j) * binomial(i-j,n)^k. A384362

a(n) is the number of multisets of n decimal digits where the sum of the digits equals the product of the prime digits. A384445

a(n) = n*(23·n - 1)/2. A22280

Numbers k such that k*(k+7) is a palindrome. A28564