Properties of the Number 28686

Twenty-Eight Thousand Six Hundred Eighty-Six

Basics

Value: 28685 → 28686 → 28687

Parity: even

Prime: No

Previous Prime: 28669

Next Prime: 28687

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 683

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 683, 1366

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000000001110

Octal: 70016

Duodecimal: 14726

Hexadecimal: 700e

Square: 822886596

Square Root: 169.36941872723068

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

G.f.: 1/G(0) where G(k) = 1 - q^k+1 / (1 - q^k+2/G(k+1) ). A227309

Partitions with superdiagonal growth: number of partitions (p0, p1, p2, ...) of n with π - p0 >= i. A238860

a(n) = 3·n³ + 2·n² + n. A67389

a(n) = number of k-tuples (u(1), u(2), ..., u(k)) with 1 <= u(1) < u(2) < ... < u(k) <= n such that u(i) - u(i-1) <= 5 for i = 2,...,k. A356621

Integers i such that 41·i = 105 X i. A115876

Number of nondecreasing Dyck paths of semilength n and having no peaks at odd level (n>=0). A nondecreasing Dyck path is a Dyck path for which the sequence of the altitudes of the valleys is nondecreasing. A121482

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,25. A64249

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,27. A64250

Numbers k such that k and k² use only the digits 2, 5, 6, 8 and 9. A137114

Number of 4-step E, S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187587