Properties of the Number 2166

Two Thousand One Hundred Sixty-Six

Basics

Value: 2165 → 2166 → 2167

Parity: even

Prime: No

Previous Prime: 2161

Next Prime: 2179

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 19 ²

Divisors: 1, 2, 3, 6, 19, 38, 57, 114, 361, 722

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001110110

Octal: 4166

Duodecimal: 1306

Hexadecimal: 876

Square: 4691556

Square Root: 46.54030511288038

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

a(n) = 6·n². A33581

a(n) = largest number of distinct words arising in Post's tag system {00, 1101} applied to a binary word w, over all starting words w of length n, or a(n) = -1 if there is a word w with an unbounded trajectory. A284116

Concentric hexagonal numbers: floor(3·n²/2). A32528

Numbers m such that the Bernoulli number B_m has denominator 42. A51228

Except a(0)=1 and a(4)=0, number of integer partitions of n with no 1's and at least two parts. A379720

Number of maximal Golomb rulers of length n. A325683

Number of partitions of n into >= 2 parts and with minimum part >= 2. A83751

Number of compositions of n with strictly decreasing differences. A325548

a(n) = n*(n + 19). A132762

Expansion of ∏_{i in A069909} 1/(1 - xⁱ). A69911