Properties of the Number 28704

Twenty-Eight Thousand Seven Hundred Four

Basics

Value: 28703 → 28704 → 28705

Parity: even

Prime: No

Previous Prime: 28703

Next Prime: 28711

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 13 × 23

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 23

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111000000100000

Octal: 70040

Duodecimal: 14740

Hexadecimal: 7020

Square: 823919616

Square Root: 169.42254867637897

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

Second differences of even superperfect numbers A061652, divided by 2. A139237

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops or left turns. A221787

Number of length-n binary sequences where the sum of each subblock differs by at most 2 from every other subblock of the same length. A274005

a(n) = 54·n² + 6·n. A277990

Indices of 0 in A348295: numbers m such that ∑_k=1..m (-1)^{floor(k*(sqrt(2}-1))) = ∑_k=1..m (-1)^A097508(k) = 0. A348299

1/4 the number of (n+1) X 4 0..2 arrays with every 2 X 2 subblock having distinct edge sums. A209377

G.f. satisfies: A(x) = theta₃( x·A(x) )², where theta₃(x) is Jacobi's theta₃ function. A212326

Number of 3 X n arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops or left turns. A221788

Number of length n 1..(1+1) arrays with every leading partial sum divisible by 2, 3 or 5. A254820

Number of monic irreducible polynomials of degree n in GF(3)[x,y,z]. A115462