Properties of the Number 2306

Two Thousand Three Hundred Six

Basics

Value: 2305 → 2306 → 2307

Parity: even

Prime: No

Previous Prime: 2297

Next Prime: 2309

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 1153

Divisors: 1, 2, 1153, 2306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100000010

Octal: 4402

Duodecimal: 1402

Hexadecimal: 902

Square: 5317636

Square Root: 48.02082881417188

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 compositions of n whose run-lengths are all different. A329739

Number of points on surface of octahedron; also coordination sequence for cubic lattice: a(0) = 1; for n > 0, a(n) = 4n² + 2. A5899

a(n) = n² + 2. A59100

Number of partitions of n such that no part is a sum of two or more other parts. A237667

Numbers that are the sum of 11 positive 8th powers. A3389

Strictly superdiagonal compositions: compositions (p1, p2, p3, ...) of n such that π > i. A238874

Number of compositions of n with weakly increasing differences. A325546

Numbers k such that (1) the k-th composition in standard order contains no 1's, and (2) there is no composition whose first sums are the k-th composition in standard order. A390678

a(0) = 1, a(n) = n² + 2 for n > 0. A10000

a(n) = (2·4ⁿ*binomial(2·n, n) - binomial(4·n + 1, 2·n)) / (n + 1). A79489