Properties of the Number 16016

Sixteen Thousand Sixteen

Basics

Value: 16015 → 16016 → 16017

Parity: even

Prime: No

Previous Prime: 16007

Next Prime: 16033

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 7 × 11 × 13

Divisors: 1, 2, 4, 7, 8, 11, 13, 14, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111010010000

Octal: 37220

Duodecimal: 9328

Hexadecimal: 3e90

Square: 256512256

Square Root: 126.554336156451

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

Coefficient triangle of certain polynomials N(5; m,x). A62190

Number of graphical partitions (degree-vectors for simple graphs with n vertices, or possible ordered row-sum vectors for a symmetric 0-1 matrix with diagonal values 0). A4251

a(n) = floor(n*φ¹⁴), where φ is the golden ratio, A001622. A4929

Expansion of Jacobi θ constant (theta₂/2)¹². A14787

Triangle read by rows: T(n,k) = number of closed meander systems of order n with k<=n components. A8828

Number of permutations p of [n] with no fixed points and cyclic displacement of elements restricted by two: p(i)<>i and (i-p(i) mod n <= 2 or p(i)-i mod n <= 2). A260074

Expansion of g.f. (1 - 5·x + 6·x² - x³)/((1 - 2·x)*(1 - 4·x + 2·x²)). A24175

10-quantum transitions in systems of N >= 10 spin 1/2 particles, in columns by combination indices. A213352

Triangle read by rows: T(n,k) gives number of ways of arranging n chords on a circle with k simple intersections (i.e., no intersections with 3 or more chords) - positive values only. A67311

If X₁,...,X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 4-subsets of X containing none of X_i, (i=1,...,n). A130810