Properties of the Number -984

Nine Hundred Eighty-Four

Basics

Value: -985 → -984 → -983

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 41

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 41, 82

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1111011000

Octal: -1730

Duodecimal: -6A0

Hexadecimal: -3d8

Square: 968256

Square Root: 31.368774282716245

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 E₆²/∏_k>=1 (1-q^k)²⁴. A289063

Numbers k in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number. A352136

Expansion of ∏_k>=1 (1 - x^2·k-1)^2·k-1. A285069

Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665. A110668

Magnetization series for face-centered cubic lattice. A3196

a(n) = n² - (n-1)² - (n-2)² - ... - 1². A179297

a(n) = ∑_{k=0..floor(n/3)} (-1)^k * binomial(n-2·k,k) * Catalan(k). A360025

a(n) = A372443(n) - A086893(1+A372447(n)). A372453

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(2ⁱ-1, 2^j-1) (A204116). A204117

Coefficients in expansion of E₆/E₈. A294183