Properties of the Number 2089

Two Thousand Eighty-Nine

Basics

Value: 2088 → 2089 → 2090

Parity: odd

Prime: Yes

Previous Prime: 2087

Next Prime: 2099

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2089

Divisors: 1, 2089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100000101001

Octal: 4051

Duodecimal: 1261

Hexadecimal: 829

Square: 4363921

Square Root: 45.70557952810576

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) = ∑_{d divides n} q(d), where q(d) = A000009 = number of partitions of d into distinct parts. A47966

Number of separable partitions of n; see Comments. A325534

Primes with 7 as smallest primitive root. A1126

Primes of the form x²+Ny², with N=102. A139643

Primes of the form x² + 24·y². A107008

a(n) = 5·a(n-1) - a(n-2), with a(1)=1, a(2)=4. A4253

Primes of the form x² + 45y². A107152

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 15: primes in A146338. A146360

Let i, i+d, i+2d, ..., i+(n-1)d be an n-term arithmetic progression of primes; choose the one which minimizes the last term; then a(n) = last term i+(n-1)d. A5115

Largest prime factor of 2ⁿ - 1. A5420