Properties of the Number -2089

Eighty-Nine

Basics

Value: -2090 → -2089 → -2088

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

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

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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

Rectangular array: A(n,k) = ∑_j=0..k (-1)^floor(j/2)*binomial(k-floor((j+1)/2), floor(j/2))*(-n)^k-j, n >= 1, k >= 0, read by antidiagonals. A299045

a(n) = -n² + 9·n + 53. A126665

Expansion of g.f. (x³+x²+2·x+1)/(x⁴+5·x²+1). A101463

a(n) = ((n²+1)³) - s, where s is the nearest square to (n²+1)³. A233149

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