Properties of the Number 8728

Eight Thousand Seven Hundred Twenty-Eight

Basics

Value: 8727 → 8728 → 8729

Parity: even

Prime: No

Previous Prime: 8719

Next Prime: 8731

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 1091

Divisors: 1, 2, 4, 8, 1091, 2182, 4364, 8728

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001000011000

Octal: 21030

Duodecimal: 5074

Hexadecimal: 2218

Square: 76177984

Square Root: 93.4237657130133

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 palindromic and unimodal compositions of n. Equivalently, the number of orbits under conjugation of even nilpotent n X n matrices. A96441

Number of steps to reach 0 when starting from 2ⁿ and iterating the map x -> x - (number of 1's in binary representation of x): a(n) = A071542(2ⁿ) = A218600(n)+1. A213710

Number of aperiodic binary toroidal necklaces of size n. A323865

Number of compositions of n with all adjacent parts (x, y) satisfying x >= 2y or y = 2x. A342335

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280161

Take pairs (x,y) with ∑_{j = x..y} j = concatenation of·and y. Sort pairs on y then x. This sequence gives y of each pair. A70153

Smallest number that is the largest value in the Collatz (3x + 1) trajectories of exactly n initial values. (a(n)=0 if no such number exists.) A233293

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 377", based on the 5-celled von Neumann neighborhood. A271461

a(n) is the number of distinct triangles whose sides do not pass through a grid point and whose vertices are three points of an n X n grid. A372217

Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives j values. A53720