Properties of the Number 9984

Nine Thousand Nine Hundred Eighty-Four

Basics

Value: 9983 → 9984 → 9985

Parity: even

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁸ × 3 × 13

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100000000

Octal: 23400

Duodecimal: 5940

Hexadecimal: 2700

Square: 99680256

Square Root: 99.91996797437437

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 divisible by exactly 10 primes with multiplicity. A46314

Triangle of coefficients of Chebyshev polynomials T_n(x). A8310

Coefficients of Chebyshev polynomials of the first kind: triangle of coefficients in expansion of cos(n·x) in descending powers of cos(x). A28297

Expansion of ∏_k>=1 (1 + 3·x^k). A32308

Square array of unsigned coefficients of Chebyshev polynomials of the first kind. A81277

Negated coefficients of Chebyshev T polynomials: [xⁿ](-T(n+6, x)), n >= 0. A1794

Number of partitions of n whose median is a part. A238478

Triangle read by rows: T satisfies the matrix products: C·T*C = T^-1 and T·C*T = C^-1, where C is Pascal's triangle. A118800

Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 7. A195091

a(0) = 0; for n>0, a(n) = maximal number of regions into which space can be divided by n spheres. A46127