Properties of the Number 6006

Six Thousand Six

Basics

Value: 6005 → 6006 → 6007

Parity: even

Prime: No

Previous Prime: 5987

Next Prime: 6007

Digit Sum: 12

Digital Root: 3

Palindrome: Yes

Factorization: 2 × 3 × 7 × 11 × 13

Divisors: 1, 2, 3, 6, 7, 11, 13, 14, 21, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101110110

Octal: 13566

Duodecimal: 3586

Hexadecimal: 1776

Square: 36072036

Square Root: 77.49838707999025

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·n*(2·n-1). A2939

Number of nodes in regular n-gon with all diagonals drawn. A7569

Products of exactly 5 distinct primes. A46387

Array T(i,j) = binomial(-1/2-i,j)*(-4)^j, i,j >= 0 read by antidiagonals going down. A46521

Array T(m,n) read by antidiagonals: T(m,n) (m >= 1, n >= 1) = number of ways to arrange the numbers 1,2,...,m·n in an m X n matrix so that each row and each column is increasing. A60854

3-dimensional Catalan numbers. A5789

Expansion of g.f. of A002652 in powers of the g.f. of A279618. A279619

a(n) = n*(n+1)*(n+2)*(n+3)/4. A33487

Numbers that are divisible by exactly 5 different primes. A51270

a(n) = (7·n)!*(3/2·n)!/((7·n/2)!*(3·n)!*(2·n)!). A276098