The number 32008
32008 is a composite number with 8 divisors. Its prime factorisation is × 4001. Divisors (8): 1, 2, 4, 8, 4001, 8002, 16004, 32008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32008 is composite. Its prime factorisation is
- 3
The divisors add up to 60030; without 32008 itself that is 28022, so 32008 is deficient (28022 is less than 32008). Euler's totient φ(32008) = 16000 numbers up to 32008 share no factor with it.
- 4
The digits of 32008 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32008 = 2^{3} \times 4001 \]32008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60030 |
| Euler totient φ(n) | 16000 |
| Square | 1024512064 |
| Cube | 32792582144512 |
| Square root | 178.907797 (= 2√8002) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2008 × |
32008 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and eight |
| Binary (base 2) | 111110100001000 |
| Octal (base 8) | 76410 |
| Hexadecimal (base 16) | 7D08 |
| Base 3 | 1121220111 |
| As time | 32008 seconds = 8 h 53 min 28 s |
Is 32008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32008 ÷ 2 = 16004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32008 ÷ 4 = 8002) | 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 4) | 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 | Yes (32008 ÷ 8 = 4001) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32008 a prime number?
No. 32008 = × 4001, so it is divisible by 2.
What are the factors of 32008?
1, 2, 4, 8, 4001, 8002, 16004, 32008.
What is 32008 in binary?
111110100001000 (hexadecimal 7D08, octal 76410).
What is the square root of 32008?
About 178.9078, exactly 2√8002.
Is 32008 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 32008?
It is a composite number with 8 divisors.