Properties of the Number 9836

Nine Thousand Eight Hundred Thirty-Six

Basics

Value: 9835 → 9836 → 9837

Parity: even

Prime: No

Previous Prime: 9833

Next Prime: 9839

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 2459

Divisors: 1, 2, 4, 2459, 4918, 9836

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011001101100

Octal: 23154

Duodecimal: 5838

Hexadecimal: 266c

Square: 96746896

Square Root: 99.1766101457395

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

a(1) = 1; a(n) = ∑_k=1..n-1 a(floor((n-1)/k)). A78346

a(n) = (1/3ⁿ) * ∑_k=0..n³ ( (binomial(n³, k) * 2^k) (mod 3ⁿ) ). A376536

Number of subwords of the form UDD in nondecreasing Dyck paths of length 2n. A377670

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 565", based on the 5-celled von Neumann neighborhood. A283059

Expansion of 1/(1 + 1/(1 - x) - ∏_k>=1 (1 + x^k)). A317536

Positive integers whose square is the sum of 96 consecutive squares. A257827

a(n) = ∑_k=1..n floor(n/(2·k-1))^k. A350147

Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and column sum not 2 3 6 or 7 and every diagonal and antidiagonal sum 2 3 6 or 7. A251892

Coordination sequence for the hypertriangular lattice. A344126