Properties of the Number -4004

Four

Basics

Value: -4005 → -4004 → -4003

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 8

Digital Root: 8

Palindrome: Yes

Factorization: 2 ² × 7 × 11 × 13

Divisors: 1, 2, 4, 7, 11, 13, 14, 22, 26, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111110100100

Octal: -7644

Duodecimal: -2398

Hexadecimal: -fa4

Square: 16032016

Square Root: 63.2771680782255

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

Scaled coefficient table for Chebyshev polynomials 2·T(2·n, sqrt(x)/2) (increasing even scaled powers, without zero entries). A127677

Riordan array ((1-x)/(1+x), x/(1+x)²). A110162

Coefficient triangle for the square of the monic integer Chebyshev T-polynomials A127672. A217476

G.f.: (1-2·x)*sqrt(1-4·x). A126079

Row sums of number triangle related to the Jacobsthal numbers. A110325

G.f.: ∑_n=-oo..+oo x^n² * C(x)^4·n-4, where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A356778

Irregular triangular array a(n,m) for third (k=3) convolution of Chebyshev's S(n,x) = U(n,x/2) polynomials, read by rows (n >=0, 0 <= m <= floor(n/2)). A128505

Triangle read by rows, characteristic polynomials of Cartan ring matrices. A152060

Expansion of (1-3·x+x³)/(1-2·x-x²+x³). A199853

Expansion of (1 - 2·x²)/(1 + x)⁵. Fourth column of Riordan triangle A248156. A248160