Properties of the Number 6008

Six Thousand Eight

Basics

Value: 6007 → 6008 → 6009

Parity: even

Prime: No

Previous Prime: 6007

Next Prime: 6011

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 751

Divisors: 1, 2, 4, 8, 751, 1502, 3004, 6008

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101111000

Octal: 13570

Duodecimal: 3588

Hexadecimal: 1778

Square: 36096064

Square Root: 77.5112895003044

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) = ∑_k=0..n binomial(5·n,5·k). A70782

a(n) = ∑_{k >= 0} binomial(n,5·k). A139398

Number of integer partitions of n such that the upper-left square of the Young diagram has strictly greater graph-distance from the lower-right boundary than any other square. A325187

Closed walks of length n along the edges of a pentagon based at a vertex. A54877

Expansion of ∏_k>=1 (1 + 2·x^k)^k. A261562

a(n) = least 2k such that p is the least prime in a Goldbach partition of 2k, where p = prime(n). A25017

G.f. A(x) satisfies A(x) = A(x²) + x·A(x²)². A73711

a(1) = 1; a(n) = ∑_k=1..n-1 a(floor((n-1)/k)). A78346

Expansion of ∑_k>0 x^4·k/(1-x^k)⁴. A363611

Expansion of ∑_k>0 x^4·k/(1+x^k)⁴. A363616