The number 32007
32007 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 227. Divisors (8): 1, 3, 47, 141, 227, 681, 10669, 32007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32007 is composite. Its prime factorisation is
- 3
The divisors add up to 43776; without 32007 itself that is 11769, so 32007 is deficient (11769 is less than 32007). Euler's totient φ(32007) = 20792 numbers up to 32007 share no factor with it.
- 4
The digits of 32007 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32007 = 3 \times 47 \times 227 \]
32007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43776 |
| Euler totient φ(n) | 20792 |
| Square | 1024448049 |
| Cube | 32789508704343 |
| Square root | 178.905003 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 183 |
| Scientific notation | 3.2007 × |
32007 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and seven |
| Binary (base 2) | 111110100000111 |
| Octal (base 8) | 76407 |
| Hexadecimal (base 16) | 7D07 |
| Base 3 | 1121220110 |
| As time | 32007 seconds = 8 h 53 min 27 s |
Is 32007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32007 ÷ 3 = 10669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32007 a prime number?
No. 32007 = 3 × 47 × 227, so it is divisible by 3.
What are the factors of 32007?
1, 3, 47, 141, 227, 681, 10669, 32007.
What is 32007 in binary?
111110100000111 (hexadecimal 7D07, octal 76407).
What is the square root of 32007?
About 178.9050.
Is 32007 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32007?
It is a composite number with 8 divisors.