The number 9006
9006 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 79. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9006 is composite. Its prime factorisation is
- 3
The divisors add up to 19200; without 9006 itself that is 10194, so 9006 is abundant (10194 is more than 9006). Euler's totient φ(9006) = 2808 numbers up to 9006 share no factor with it.
- 4
The digits of 9006 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9006 = 2 \times 3 \times 19 \times 79 \]
9006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19200 |
| Euler totient φ(n) | 2808 |
| Square | 81108036 |
| Cube | 730458972216 |
| Square root | 94.899947 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 9.006 × |
9006 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and six |
| Binary (base 2) | 10001100101110 |
| Octal (base 8) | 21456 |
| Hexadecimal (base 16) | 232E |
| Base 3 | 110100120 |
| As time | 9006 seconds = 2 h 30 min 6 s |
Is 9006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9006 ÷ 2 = 4503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9006 ÷ 3 = 3002) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9006 ÷ 6 = 1501) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9006 a prime number?
No. 9006 = 2 × 3 × 19 × 79, so it is divisible by 2.
What are the factors of 9006?
1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006.
What is 9006 in binary?
10001100101110 (hexadecimal 232E, octal 21456).
What is the square root of 9006?
About 94.8999.
Is 9006 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9006?
It is a composite number with 16 divisors.