Properties of the Number 9846

Nine Thousand Eight Hundred Forty-Six

Basics

Value: 9845 → 9846 → 9847

Parity: even

Prime: No

Previous Prime: 9839

Next Prime: 9851

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 547

Divisors: 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001110110

Octal: 23166

Duodecimal: 5846

Hexadecimal: 2676

Square: 96943716

Square Root: 99.22701245124736

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 double-free integer partitions of n. A323092

Numbers n such that Bernoulli number B_n has denominator 798. A272138

The number of vertices formed when every pair of n points, placed at the vertices of a regular n-gon, are connected by a circle and where the points lie at the ends of the circle's diameter. A358746

T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order. A229578

Number of parts in all partitions of n into even number of distinct parts. A238132

Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = floor(M(n)). A139076

Number of partitions p of n such that the number of parts is a part or max(p) - min(p) is a part. A241386

a(n) = ∑_k=1..n binomial(floor(n/k)+3,4). A365409

The terms of A055235 (sums of two powers of 3) divided by 2. A73216

Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 0011 (n,k>=0). A118884