The number 9008
9008 is a composite number with 10 divisors. Its prime factorisation is × 563. Divisors (10): 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9008 is composite. Its prime factorisation is
- 3
The divisors add up to 17484; without 9008 itself that is 8476, so 9008 is deficient (8476 is less than 9008). Euler's totient φ(9008) = 4496 numbers up to 9008 share no factor with it.
- 4
The digits of 9008 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9008 = 2^{4} \times 563 \]9008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 17484 |
| Euler totient φ(n) | 4496 |
| Square | 81144064 |
| Cube | 730945728512 |
| Square root | 94.910484 (= 4√563) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.008 × |
9008 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and eight |
| Binary (base 2) | 10001100110000 |
| Octal (base 8) | 21460 |
| Hexadecimal (base 16) | 2330 |
| Base 3 | 110100122 |
| As time | 9008 seconds = 2 h 30 min 8 s |
Is 9008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9008 ÷ 2 = 4504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9008 ÷ 4 = 2252) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (9008 ÷ 8 = 1126) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9008 a prime number?
No. 9008 = × 563, so it is divisible by 2.
What are the factors of 9008?
1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008.
What is 9008 in binary?
10001100110000 (hexadecimal 2330, octal 21460).
What is the square root of 9008?
About 94.9105, exactly 4√563.
Is 9008 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 9008?
It is a composite number with 10 divisors.