Properties of the Number 9837

Nine Thousand Eight Hundred Thirty-Seven

Basics

Value: 9836 → 9837 → 9838

Parity: odd

Prime: No

Previous Prime: 9833

Next Prime: 9839

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1093

Divisors: 1, 3, 9, 1093, 3279, 9837

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001101101

Octal: 23155

Duodecimal: 5839

Hexadecimal: 266d

Square: 96766569

Square Root: 99.18165152889924

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 inversion sequences of length n avoiding the consecutive patterns 101, 102, and 201. A328435

Number of ways to place 4 nonattacking kings on an n X n toroidal board. A179424

Sum of values of vertices at level n of the hyperbolic Pascal pyramid. A264237

Row 5 of A277710: Positions of 5's in A264977; positions of 10's in A277330. A277715

Numbers k such that 5 is the smallest decimal digit of k². A291630

Sums of 7 distinct powers of 3. A38469

Number of edges in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. A357008

Numbers k such that 2^k mod k = 2^k mod k². A68535

a(n) = ∑_i=0..n digsum(i)³, where digsum(i) = A007953(i). A231688

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 7/5. A279779