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Properties of the Number 16192

Sixteen Thousand One Hundred Ninety-Two

Basics

Value: 16191 → 16192 → 16193

Parity: even

Prime: No

Previous Prime: 16189

Next Prime: 16193

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 6 × 11 × 23

Divisors: 1, 2, 4, 8, 11, 16, 22, 23, 32, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11111101000000

Octal: 37500

Duodecimal: 9454

Hexadecimal: 3f40

Square: 262180864

Square Root: 127.24778976469493

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

If X1, ..., Xn is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of Xi, (i=1,...,n). A130809
T(n,k)=Petersen graph (8,2) coloring a rectangular array: number of nXk 0..15 arrays where 0..15 label nodes of a graph with edges 0,1 0,8 8,14 8,10 1,2 1,9 9,15 9,11 2,3 2,10 10,12 3,4 3,11 11,13 4,5 4,12 12,14 5,6 5,13 13,15 6,7 6,14 7,0 7,15 and every array movement to a horizontal, diagonal or antidiagonal neighbor moves along an edge of this graph. A223599
11-gonal (or hendecagonal) pyramidal numbers: a(n) = n*(n+1)*(3·n-2)/2. A7586
Even 10-gonal (or decagonal) numbers. A28994
"DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,... A32246
Number of self-dual noncommutative groupoids with n elements. A258719
Expansion of ∑k>0 x2·k/(1-xk)4. A363604
Triangle P, read by rows, that satisfies [P8](n,k) = P(n+1,k+1) for n>=k>=0, also [P8·m](n,k) = [Pm](n+1,k+1) for all m, where [Pm](n,k) denotes the element at row n, column k, of the matrix power m of P, with P(0,k)=1 and P(k,k)=1 for all k>=0. A111835
Array read by antidiagonals: T(n,k) is the number of k-tuples of involutions on [n] that pairwise commute. A362824
Number of terms in 5th derivative of a function composed with itself n times. A22815