Properties of the Number -1008

Eight

Basics

Value: -1009 → -1008 → -1007

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 7

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111110000

Octal: -1760

Duodecimal: -700

Hexadecimal: -3f0

Square: 1016064

Square Root: 31.74901573277509

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

Coefficients in expansion of Eisenstein series E₂ (also called E₁ or G₂). A6352

Coefficients of list partition transform: reciprocal of an exponential generating function (e.g.f.). A133314

Expansion of E₆(q)² in powers of q. A280869

Dirichlet inverse of sigma₃ function (A001158). A53825

Expansion of 8-dimensional cusp form. A2408

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 + xⁿ⁺¹)ⁿ⁺¹. A323557

McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B). A7258

McKay-Thompson series of class 6E for the Monster group with a(0) = 3. A105559

McKay-Thompson series of class 6E for the Monster group with a(0) = 4. A128633

Expansion of r(q²) / r(q)² in powers of q where r() is the Rogers-Ramanujan continued fraction. A285348