Properties of the Number -1009

Nine

Basics

Value: -1010 → -1009 → -1008

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 1009

Divisors: 1, 1009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111110001

Octal: -1761

Duodecimal: -701

Hexadecimal: -3f1

Square: 1018081

Square Root: 31.76476034853718

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

Corresponds to m = 3 in a family of 4th-order linear recurrence sequences given by a(m,n) = m⁴*a(n-4) + (2·m)²*a(n-3) - 4·a(n-1), a(m,0) = -1, a(m,1) = 4, a(m,2) = -13 + 6*(m-1) + 3*(m-1)², a(m,3) = (-8+m²)². A113249

Square array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = ∑_j=1..n (-k)^floor(n/j - 1). A345033

Alternating sum of the squares of the first n odd-indexed Fibonacci numbers. A156089

The cube of the g.f. equals the g.f. of A196306. A196307

a(0) = 1; a(n) = ∑_k=1..n (-1)^{n - k} * binomial(n,k) * a(k-1) * a(n-k). A331404

Triangle of coefficients in the numerators of rational functions in tanh(1) that express the (2n)th du Bois-Reymond constants as C₀ = 0, C₂ = -4 - 1/(1-tanh(1)), for n>1, C_2n = -3 - (∑_k=0..n a(n,k)*tanh(1)^k) / (2ⁿ*n! * (1-tanh(1))ⁿ). A104053

Primes or negative values of primes of the form 59·n² - 1873·n + 8941 for n>=0. A217604

Emirps (primes whose reversal is a different prime). A6567

Primes p such that p + 4 is also prime. A23200

Primes p such that 2p-1 is also prime. A5382