Properties of the Number 8006

Eight Thousand Six

Basics

Value: 8005 → 8006 → 8007

Parity: even

Prime: No

Previous Prime: 7993

Next Prime: 8009

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 4003

Divisors: 1, 2, 4003, 8006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101000110

Octal: 17506

Duodecimal: 4772

Hexadecimal: 1f46

Square: 64096036

Square Root: 89.47625383307015

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

Partial sums of A299258. A299264

Number of solutions to c(1)*prime(1)+...+c(2n)*prime(2n) = -1, where c(i) = +-1 for i > 1, c(1) = 1. A261061

Number T(n,k) of (unlabeled) rooted trees with n leaf nodes and without unary nodes such that k is the maximum of 1 and the node outdegrees; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A292086

Expansion of η(q⁶) * η(q¹⁰) / (η(q) * η(q¹⁵)) in powers of q. A94023

Numbers k such that 2^k + 25 is prime. A157006

Number of colors that can be mixed with n >= 0 units of yellow, blue, red. A48241

Expansion of q * (χ(-q³) * χ(-q⁵)) / (χ(-q) * χ(-q¹⁵))² in powers of q where χ() is a Ramanujan θ function. A123630

Percolation series for directed square lattice. A6461

Expansion of f(-q⁶) * f(-q¹⁰) / (f(q) * f(q¹⁵)) in powers of q where f() is a Ramanujan θ function. A145728

Numbers k such that σ(k - 2) = σ(k + 2). A223091