Properties of the Number 28003

Twenty-Eight Thousand Three

Basics

Value: 28002 → 28003 → 28004

Parity: odd

Prime: No

Previous Prime: 28001

Next Prime: 28019

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 41 × 683

Divisors: 1, 41, 683, 28003

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110101100011

Octal: 66543

Duodecimal: 14257

Hexadecimal: 6d63

Square: 784168009

Square Root: 167.34096928128508

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 integer partitions of n whose parts do not have choosable sets of strict integer partitions. A387137

a(n) = ((3+sqrt(3))*(4+sqrt(3))ⁿ+(3-sqrt(3))*(4-sqrt(3))ⁿ)/6. A162557

Square array of numbers T(n,k) = ((1+sqrt(3))*(k+sqrt(3))ⁿ-(1-sqrt(3))*(k-sqrt(3))ⁿ)/(2·sqrt(3)), read by antidiagonals. A86404

G.f.: [∑_n>=0 x^n*(n+1/2) * (1+x)ⁿ ]³. A182152

Generalized Pell numbers P(n,5,5). A141448

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, 0), (1, -1, 1), (1, 0, 0)}. A148180

Expansion of 1/((1-2x)(1-6x)(1-10x)(1-12x)). A28003

Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..2 introduced in row major order. A204506