Properties of the Number 56000

Fifty-Six Thousand

Basics

Value: 55999 → 56000 → 56001

Parity: even

Prime: No

Previous Prime: 55997

Next Prime: 56003

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 5 ³ × 7

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101101011000000

Octal: 155300

Duodecimal: 284A8

Hexadecimal: dac0

Square: 3136000000

Square Root: 236.64319132398464

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 maximal subsets of {1..n} such that it is possible to choose a different prime factor of each element. A370585

Table read by rows: T(n,k) = number of k-gons, k >= 3, formed inside a square with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,m)/A006843(n,m), m = 1..A005728(n). A358889

Positive integers k = p₁^e_1·p₂^e_2·p₃^e_3, such that the points (p₁, e₁), (p₂, e₂) and (p₃, e₃) lie on a straight line with nonzero slope. A389340

Expansion of ∏_k>=1 (1 + x^3·k-1)^3·k-1. A262948

Triangle read by rows, T(n, k) = [x^k] p(n), where p(n) = 4ⁿ * hypergeom([1/2, -n - 1, -n], [2, 2], x). A367022

Numbers with prime factorization pq^3r^6. A190467

a(n) = 7·n³. A244727

Consider the family of multigraphs enriched by the species of parts. Sequence gives number of those multigraphs with n labeled edges. A98628

a(n) = n³ if n odd, 7·n³/8 if n even. A309335

Number of maximal subsets of {1..n} containing n such that it is possible to choose a different prime factor of each element (choosable). A370590