Properties of the Number -2008

Eight

Basics

Value: -2009 → -2008 → -2007

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 251

Divisors: 1, 2, 4, 8, 251, 502, 1004, 2008

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: -11111011000

Octal: -3730

Duodecimal: -11B4

Hexadecimal: -7d8

Square: 4032064

Square Root: 44.81071300481616

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

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 6. A60025

a(n) = n - A332215(n). A364253

G.f. A(x,y) satisfies: ∑_n=-oo...+oo (xⁿ + y)ⁿ = exp( (1-y) * A(x,y) ) / (1-y), where A(x,y) = ∑_n>=1 xⁿ/n·Sum{k=0..n-1} T(n,k)*y^k, written here as a flattened triangle of coefficients T(n,k) read by rows. A321600

Let n be a positive integer, n>3. Define a tournament on the vertex set {2,3,..,n} by: for i < j, i is adjacent to j if i divides j, else j is adjacent to i. If T(n) denotes its adjacency matrix, then the above sequence is det(T(n))for n=4,5,6....42. A57980

New tetradiagonal form matrix as triangular sequence from solution of : X(n,m)=Steinbach(n,m)^-1.tri-Antidiagonal₁(n,n). A124020

Numbers k such that 2^k + 3 is prime. A57732

Number of subsets of {1..n} containing n such that some element can be written as a nonnegative linear combination of the others. A365046

Number A(n,k) of n X n nonnegative integer matrices with all row and column sums equal to k; square array A(n,k), n >= 0, k >= 0, read by antidiagonals. A257493

Years in which there are five Fridays in the month of February. A141287

Number of 4 X 4 matrices with nonnegative integer entries and row and column sums equal to n. A1496