Properties of the Number 2091

Two Thousand Ninety-One

Basics

Value: 2090 → 2091 → 2092

Parity: odd

Prime: No

Previous Prime: 2089

Next Prime: 2099

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 × 41

Divisors: 1, 3, 17, 41, 51, 123, 697, 2091

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000101011

Octal: 4053

Duodecimal: 1263

Hexadecimal: 82b

Square: 4372281

Square Root: 45.727453460694704

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 length n inversion sequences avoiding the patterns 110 and 120. A279570

Numbers k such that 7^k - 2 is a prime. A90669

Number of integer partitions of n that are constant or whose part multiplicities, except possibly the first and last, are all even. A349060

Antidiagonal sums of number triangle A086645. A108479

a(n) = n*(n+10). A98603

Expansion of 1/(1 - x - x² + x⁷ - x⁹). A225394

a(n) = n*(2·n+5)*(n-1)/6. A51925

a(n) = ∑_{k=0..floor(n/4)} binomial(n-2k,2k). A5252

Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities). A45940

Odd positive integers a(n) such that for every odd integer m > 1 there exists a unique representation of m as a sum of the form a(l) + 2a(s). A145812