Properties of the Number 54286

Fifty-Four Thousand Two Hundred Eighty-Six

Basics

Value: 54285 → 54286 → 54287

Parity: even

Prime: No

Previous Prime: 54277

Next Prime: 54287

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 27143

Divisors: 1, 2, 27143, 54286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010000001110

Octal: 152016

Duodecimal: 274BA

Hexadecimal: d40e

Square: 2946969796

Square Root: 232.99356214281974

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

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2 or 5 king-move neighboring 1s. A296128

E.g.f. satisfies A(x) = exp(x·A(x⁴/4!)). A143568

Expansion of e.g.f. exp( x·exp(x⁴/24) ). A354552

Numbers whose set of base-15 digits is {1,4}. A32827

Number of nX6 0..1 arrays with each 1 adjacent to 2 or 5 king-move neighboring 1s. A296126

Expansion of q^-1/2(η(q²)η(q¹⁰)/(η(q)η(q⁵)))² in powers of q. A93830

Number of n X n 0..1 arrays with each 1 adjacent to 2 or 5 king-move neighboring 1's. A296123

Positions of 0's in the decimal expansion of the Golden Ratio (sqrt(5)+1)/2. A54286

Number of equal spheres setting a new density record in relation to the volume of the spherical layer that is occupied by the spheres when arranged touching the surface of a container sphere according to the criterion of maximizing their minimum mutual distance. A342559