Properties of the Number 2167

Two Thousand One Hundred Sixty-Seven

Basics

Value: 2166 → 2167 → 2168

Parity: odd

Prime: No

Previous Prime: 2161

Next Prime: 2179

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 11 × 197

Divisors: 1, 11, 197, 2167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 100001110111

Octal: 4167

Duodecimal: 1307

Hexadecimal: 877

Square: 4695889

Square Root: 46.551047249229526

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 partitions of n that do not contain 1 as a part. A2865

Number of partitions of n that do not contain parts less than the smallest part of the partitions of n-1. A187219

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

Toothpick sequence in the three-dimensional grid. A160160

Gullwing sequence (see Comments lines for precise definition). A187220

Number of integer compositions of n that are not the first sums of any finite nonnegative sequence. A391645

Toothpick sequence on hexagonal net. A182840

a(n) = n*(9·n - 1)/2. A22266

Bisection (even part) of number of partitions that do not contain 1 as a part A002865. A182746

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251065