Properties of the Number 16266

Sixteen Thousand Two Hundred Sixty-Six

Basics

Value: 16265 → 16266 → 16267

Parity: even

Prime: No

Previous Prime: 16253

Next Prime: 16267

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2711

Divisors: 1, 2, 3, 6, 2711, 5422, 8133, 16266

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111110001010

Octal: 37612

Duodecimal: 94B6

Hexadecimal: 3f8a

Square: 264582756

Square Root: 127.53822956274719

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 hill-free Dyck paths of semilength n+3 and having length of first descent equal to 1 (a hill in a Dyck path is a peak at level 1). A1558

Triangle T(n,k) giving number of hill-free Dyck paths of length 2n and having height of first peak equal to k. A65602

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 777", based on the 5-celled von Neumann neighborhood. A290292

Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having length of first descent equal to k (1<=k<=n; n>=1). A hill in a Dyck path is a peak at level 1. A118972

a(n) = floor(φⁿ/n), where φ = golden ratio = (1+sqrt(5))/2. A172128

Number of compositions of n into parts with multiplicity not larger than 10. A243088

Column 1 of triangle A277410. A277411

Sum of distances between greatest-part-order and length-order of partitions of n. A36051

a(n) = ∑_{k = 0..floor(n/2)} floor(C(n-k,k)/(k+1)). A95719

Number of partitions of 2n in which both odd parts and parts that are multiples of 3 occur with even multiplicities. There is no restriction on the other even parts. A101230