Properties of the Number 9806

Nine Thousand Eight Hundred Six

Basics

Value: 9805 → 9806 → 9807

Parity: even

Prime: No

Previous Prime: 9803

Next Prime: 9811

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 4903

Divisors: 1, 2, 4903, 9806

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001001110

Octal: 23116

Duodecimal: 5812

Hexadecimal: 264e

Square: 96157636

Square Root: 99.02524930541705

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239599

Number of 2-separable partitions of n; see Comments. A239468

Expansion of ∏_k>=0 (1-x^3·k+2)^3·k+2. A285212

Binomial transform of [1, 3, 7, 0, 0, 0, ...]. A140063

Consider the figure made up of a row of n adjacent congruent rectangles, with diagonals of all possible rectangles drawn; a(n) = number of interior vertices where exactly five lines cross. A336491

Consecutive states of the linear congruential pseudo-random number generator (9806·s+1) mod (2¹⁷-1) when started at s=1. A384236

a(n) = 2·a(n-1) - a(n-2) + n + 1. A121968

a(n) = (-1)ⁿ * A294359(n) / (n+1)². A294475

Numbers k such that the continued fraction for sqrt(k) has period 96. A20435

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones. A31812