Properties of the Number 28584

Twenty-Eight Thousand Five Hundred Eighty-Four

Basics

Value: 28583 → 28584 → 28585

Parity: even

Prime: No

Previous Prime: 28579

Next Prime: 28591

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 397

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110111110101000

Octal: 67650

Duodecimal: 14660

Hexadecimal: 6fa8

Square: 817045056

Square Root: 169.06803364326444

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 edges formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331765

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A235679

Somos's sequence {a(8,n)} defined in comment in A018896: a(0)=a(1)= ... = a(17) = 1; for n>=18, a(n) = (a(n-1)*a(n-17)+ a(n-9)²)/a(n-18). A271838

Number of partitions of (4, n) into a sum of distinct pairs. A268347

Prime terms subtracted from Fibonacci terms (ignoring first two terms of Fibonacci sequence). A160189

G.f. A(x) satisfies: A(x)² - 6·A(x)³ = A(x²). A274737

Number of (n+1)X(3+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A235674

E.g.f.: cosh(exp(x)-sec(x))=1+1/2!*x²+5/4!*x⁴-20/5!*x⁵+37/6!*x⁶... A13337

Number of (n+1)X(n+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise. A235672

Expansion of (theta₃(z)*theta₃(4z)+theta₂(z)*theta₂(4z))³. A28584