Properties of the Number 2282

Two Thousand Two Hundred Eighty-Two

Basics

Value: 2281 → 2282 → 2283

Parity: even

Prime: No

Previous Prime: 2281

Next Prime: 2287

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 163

Divisors: 1, 2, 7, 14, 163, 326, 1141, 2282

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011101010

Octal: 4352

Duodecimal: 13A2

Hexadecimal: 8ea

Square: 5207524

Square Root: 47.77028364998475

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

Smallest even k such that the pair {k-3,k-1} is not a twin prime pair and lpf(k-1) > lpf(k-3) >= prime(n), where lpf = least prime factor (A020639). A242720

Number of inequivalent ways of dissecting a regular (n+2)-gon into n triangles by n-1 non-intersecting diagonals under rotations and reflections; also the number of (unlabeled) maximal outerplanar graphs on n+2 vertices. A207

Expansion of 1/((1-x)²*(1-x²)*(1-x³)). A601

Triangle read by rows: T(n,k) = number of forests of k labeled rooted trees of height at most 1, with n labels, where any root may contain >= 1 labels, n >= 0, 0 <= k <= n. A143395

Number of increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A51336

Triangle of coefficients of certain polynomials used with prime numbers as variables in the computation of the array A103728. A103718

Array read by antidiagonals: T(n,k) = number of nonequivalent dissections of a polygon into n k-gons by nonintersecting diagonals up to rotation and reflection (k >= 3). A295260

Number of partitions of n into parts not a multiple of 7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 9 are greater than 1. A35985

Number of strict integer partitions of n with no part divisible by all the others. A343377

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,0) and new values introduced in order 0..2. A275228