Properties of the Number 16092

Sixteen Thousand Ninety-Two

Basics

Value: 16091 → 16092 → 16093

Parity: even

Prime: No

Previous Prime: 16091

Next Prime: 16097

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 149

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11111011011100

Octal: 37334

Duodecimal: 9390

Hexadecimal: 3edc

Square: 258952464

Square Root: 126.85424707119584

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

Third step in Goodstein sequences, i.e., g(5) if g(2)=n: write g(4)=A057650(n) in hereditary representation base 4, bump to base 5, then subtract 1 to produce g(5). A59934

T(n,k)=Number of -k..k arrays x(0..n+2) of n+3 elements with zero sum and nonzero second and third differences. A200204

a(n) = G_n(13), where G is the Goodstein function defined in A266201. A271560

T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A279327

T(n,k)=Number of arrays of n 0..k integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements. A215190

Numbers k such that A127483(k) = A127483(k+1) - 1 = A127483(k+2) - 2 = A127483(k+3) - 3. A127486

Coefficient of·in the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192761

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 2. A209984

Triangle read by rows where the n-th row is the first row of Mⁿ, with M the (n+1)-by-(n+1) matrix with (1,3,1,3,1,3,...) on its main diagonal and (3,1,3,1,3,1,...) on its superdiagonal. A124572

Number of partitions of n with difference 10 between the number of odd parts and the number of even parts, both counted without multiplicity. A242701