Properties of the Number 16085

Sixteen Thousand Eighty-Five

Basics

Value: 16084 → 16085 → 16086

Parity: odd

Prime: No

Previous Prime: 16073

Next Prime: 16087

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 3217

Divisors: 1, 5, 3217, 16085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11111011010101

Octal: 37325

Duodecimal: 9385

Hexadecimal: 3ed5

Square: 258727225

Square Root: 126.82665335015349

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 T(n,k) of colored integer partitions of n using all colors of a k-set such that parts i have distinct color patterns in arbitrary order and each pattern for a part i has i colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A309973

Number of integer compositions of n with no ones or runs of length 1. A353508

Number of partitions of the n-th tetrahedral number into exactly n positive tetrahedral numbers. A338586

Number of planar vertically indecomposable distributive lattices with n nodes. A345734

a(n) = coefficient of xⁿ in A(x) where x = ∑_n=-oo..+oo (-1)^n-1 * xⁿ * (2 + xⁿ*A(x)ⁿ)ⁿ. A359922

Number of separable partitions of n in which the number of distinct (repeatable) parts <= 4. A325713

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 11. A51976

G.f. 1/((3·x-1)*(x²-x-1)). A107361

Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order. A204373

Numbers k such that (k-1)² + k² + (k+1)² is a palindrome. A233007