Properties of the Number 88320

Eighty-Eight Thousand Three Hundred Twenty

Basics

Value: 88319 → 88320 → 88321

Parity: even

Prime: No

Previous Prime: 88301

Next Prime: 88321

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁸ × 3 × 5 × 23

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100100000000

Octal: 254400

Duodecimal: 43140

Hexadecimal: 15900

Square: 7800422400

Square Root: 297.18680993610735

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 inequivalent ways to color vertices of a regular tetrahedron using <= n colors. A6008

The greedy sequence of real numbers at least 1 that do not contain any 3-term geometric progressions with integer ratio. A235054

a(n) = exp(-1/4) * ∑_k>=0 (4·k - 1)ⁿ / (4^k * k!). A337040

Least m such that A081212(m) = n. A81214

Number of 3-step king's tours on an n X n board summed over all starting positions. A186862

∑_0<j<k<=n (k⁴-j⁴). A206811

E.g.f. satisfies log(A(x)) = x³/6 * (exp(x) - 1) * A(x). A356952

2-dimensional array T(n, k) listed by antidiagonals for n >= 2, k >= 1 giving the number of acyclic paths of length k in the graph G(n) whose vertices are the integer lattice points (p, q) with 0 <= p, q < n and with an edge between v and w iff the line segment [v, w] contains no other integer lattice points. A247944

Number of n X 3 0..1 arrays with every element equal to 0, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298570

Expansion of log(1+sinh(x))/cosh(x). A9355