Properties of the Number 9834

Nine Thousand Eight Hundred Thirty-Four

Basics

Value: 9833 → 9834 → 9835

Parity: even

Prime: No

Previous Prime: 9833

Next Prime: 9839

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 11 × 149

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 149, 298

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011001101010

Octal: 23152

Duodecimal: 5836

Hexadecimal: 266a

Square: 96707556

Square Root: 99.16652661054536

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

Natural numbers k such that k is a multiple of its number of "feasible" partitions. A254438

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186472

T(n,k)=Number of (n+1)X(n+1) 0..k arrays with each 2X2 subblock off diagonal and antidiagonal nonsingular and the array of 2X2 subblock determinants antisymmetric about the diagonal and antidiagonal. A187705

a(n) = 9·n² + n. A154517

G.f.: 1 + ∑_n>=1 a(n)*xⁿ/(1 - xⁿ) = ∏_n>=1 (1 + xⁿ)/(1 - xⁿ). A300274

a(n) = ∑_{k=0..floor(n/3)} (-1)^k * binomial(n+2,3·k+2) * Catalan(k). A360049

a(n) = floor(a(n-1)/2) + a(n-2) with a(0)=1, a(1)=2. A64650

Triangle T(n,k) = f(n,k,n-2), n >= 2, 1 <= k <= n-1, where f is given below. A75780

Triangle T(n,k) = f(n,k,n-2), n >= 0, 0 <= k <= n, where f is given below. A75837

a(n) = 1089·n² + 33. A158688