Properties of the Number 28864

Twenty-Eight Thousand Eight Hundred Sixty-Four

Basics

Value: 28863 → 28864 → 28865

Parity: even

Prime: No

Previous Prime: 28859

Next Prime: 28867

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 11 × 41

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 41, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000011000000

Octal: 70300

Duodecimal: 14854

Hexadecimal: 70c0

Square: 833130496

Square Root: 169.89408465276242

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

a(n) = n*(n+1)*(5·n + 4)/6. A162147

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 30", based on the 5-celled von Neumann neighborhood. A285538

a(n) = ∑_{k=0..floor(n/2)} 2^k * binomial(2·k+1,2·n-4·k+1). A387768

High-temperature expansion of Ising model susceptibility chi₂ for square lattice. A10039

a(n) is the number of (s(0),s(1),...,s(n)) such that every s(i) is a nonnegative integer, s(0) = 1, s(n) = 1, |s(1) - s(0)| = 1, |s(i) - s(i-1)| <= 1 for i >= 2. Also a(n) = T(n,n), where T is the array in A026120. A26122

Number of distinct terms in row n of A049455. A293165

a(n) = r1ⁿ + r2ⁿ + r3ⁿ where r1, r2, r3 are the three roots of x³ - 2·x - 2 = 0. A191697

Jacobi form of weight 12 and index 1 for the Niemeier lattice of type D₁₂². A55750

a(n) = 8ⁿ mod 6ⁿ. A138964

A triangular sequence of coefficients made from a product sum of the Pascal/binomial and the Chebyshev T Polynomials: t(n,m)=-Sum[Binomial[n + 1, k + 1]*CoefficientList[ChebyshevT[k + 1, x], x][[m]], {k, m, n}]. A142701