Properties of the Number 9006

Nine Thousand Six

Basics

Value: 9005 → 9006 → 9007

Parity: even

Prime: No

Previous Prime: 9001

Next Prime: 9007

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 19 × 79

Divisors: 1, 2, 3, 6, 19, 38, 57, 79, 114, 158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100101110

Octal: 21456

Duodecimal: 5266

Hexadecimal: 232e

Square: 81108036

Square Root: 94.89994731294638

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

Numbers that are the sum of 8 positive 7th powers. A3375

Number of integers in n-th generation of tree T(1/2) defined in Comments. A274142

Strobogrammatic numbers: the same upside down. A787

Numbers n such that every digit occurs at least once in n³. A119735

a(1) = 1; a(n) = max{ 5·a(k) + a(n-k) | 1 <= k <= n/2 } for n > 1. A130667

Number of polyominoes with n cells with maximal symmetry and center of rotation about the center of a square. A351127

Numbers that look the same when rotated by 180 degrees, using only digits 0, 6 and 9. A111065

Numbers m such that 18·m + 1, 36·m + 1, 108·m + 1, and 162·m + 1 are all primes. A372188

Numbers that are the same upside down (using only digits 0, 1, 6 and 9). A169731

a(n) = ∑_{i∣n, j∣n, k∣n} i·j*k/lcm(i,j,k). A344135