Properties of the Number -2002

Two

Basics

Value: -2003 → -2002 → -2001

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 4

Digital Root: 4

Palindrome: Yes

Factorization: 2 × 7 × 11 × 13

Divisors: 1, 2, 7, 11, 13, 14, 22, 26, 77, 91

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11111010010

Octal: -3722

Duodecimal: -11AA

Hexadecimal: -7d2

Square: 4008004

Square Root: 44.74371464239419

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

Triangle of coefficients of Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of·in increasing order). A53122

Triangle of coefficients of shifted Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of·in decreasing order). A53123

Triangle of binomial coefficients C(-n,k). A27555

Coefficient triangle for certain polynomials N(2; n,x) (rising powers of x). A62991

a(n) = -4·binomial(2·n-5, n-4)/n for n > 0 and a(0) = 1. A115143

Expansion of ∏_k>=0 (1-x^3·k+1)^3·k+1. A285050

G.f.: Im((2·i; x)_oo), where (a; q)_oo is the q-Pochhammer symbol, i = sqrt(-1). A292140

Expansion of ∑_k>0 x^2·k/(1+x^k)⁶. A363614

G.f.: A(x) = ∏_n>=1 [ (1-x)²*(1 + 2x + 3x² +...+ n·x^n-1) ]. A129355

A Seidel matrix A(n,k) read by antidiagonals downwards. A323834