Properties of the Number 4004

Four Thousand Four

Basics

Value: 4003 → 4004 → 4005

Parity: even

Prime: No

Previous Prime: 4003

Next Prime: 4007

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

a(n) = 2·a(n-1) + a(n-2) - a(n-3) for n >= 3, starting with a(0) = 1, a(1) = 3, and a(2) = 6. A6356

a(n) = n*(2·n + 3). A14106

Expansion of 1/((1-x)*(1-5·x)*(1-6·x)*(1-10·x)). A22343

Triangle read by rows: T(n, k) is the number of diagonal dissections of a convex n-gon into k+1 regions. A33282

Expansion of (1-x)/(1-2·x-x²+x³). A77998

Triangle obtained by adding a leading diagonal 1,0,0,0,... to A033282. A86810

'Eban' numbers (the letter 'e' is banned!). A6933

Four times pentagonal numbers: a(n) = 2·n*(3·n-1). A33579

Triangle read by rows: T(n,k) is the number of Schroeder paths of semilength n containing exactly k peaks but no peaks at level one (n >= 1; 0 <= k <= n-1). A126216

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