Properties of the Number 28688

Twenty-Eight Thousand Six Hundred Eighty-Eight

Basics

Value: 28687 → 28688 → 28689

Parity: even

Prime: No

Previous Prime: 28687

Next Prime: 28697

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 11 × 163

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 163

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111000000010000

Octal: 70020

Duodecimal: 14728

Hexadecimal: 7010

Square: 823001344

Square Root: 169.37532287792104

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 collinear point-triples in an n X n grid. A938

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - b(n-2) - b(n-3), where a(0) = 1, a(1) = 3, a(2) = 5, b(0) = 2, b(1) = 4, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295362

Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 1 1 vertically. A208497

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252300

Number of permutations of length n which avoid the patterns 321, 1342, 3124. A116718

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

Sorted factorial and k-factorial numbers (numbers of form k-1 excluded). A28688

Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x²) o x/(1-n·x) o (1-sqrt(1-4·x))/2 } for n>=1, k>=1. A120013