The number 12004
12004 is a composite number with 6 divisors. Its prime factorisation is × 3001. Divisors (6): 1, 2, 4, 3001, 6002, 12004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12004 is composite. Its prime factorisation is
- 3
The divisors add up to 21014; without 12004 itself that is 9010, so 12004 is deficient (9010 is less than 12004). Euler's totient φ(12004) = 6000 numbers up to 12004 share no factor with it.
- 4
The digits of 12004 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12004 = 2^{2} \times 3001 \]12004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 21014 |
| Euler totient φ(n) | 6000 |
| Square | 144096016 |
| Cube | 1729728576064 |
| Square root | 109.562767 (= 2√3001) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2004 × |
12004 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and four |
| Binary (base 2) | 10111011100100 |
| Octal (base 8) | 27344 |
| Hexadecimal (base 16) | 2EE4 |
| Base 3 | 121110121 |
| As time | 12004 seconds = 3 h 20 min 4 s |
Is 12004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12004 ÷ 2 = 6002) | 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 (12004 ÷ 4 = 3001) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 12004 a prime number?
No. 12004 = × 3001, so it is divisible by 2.
What are the factors of 12004?
1, 2, 4, 3001, 6002, 12004.
What is 12004 in binary?
10111011100100 (hexadecimal 2EE4, octal 27344).
What is the square root of 12004?
About 109.5628, exactly 2√3001.
Is 12004 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 12004?
It is a composite number with 6 divisors.