The number 12008
12008 is a composite number with 16 divisors. Its prime factorisation is × 19 × 79. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 79, 152, 158, 316, 632, 1501, 3002, 6004, 12008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12008 is composite. Its prime factorisation is
- 3
The divisors add up to 24000; without 12008 itself that is 11992, so 12008 is deficient (11992 is less than 12008). Euler's totient φ(12008) = 5616 numbers up to 12008 share no factor with it.
- 4
The digits of 12008 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12008 = 2^{3} \times 19 \times 79 \]12008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24000 |
| Euler totient φ(n) | 5616 |
| Square | 144192064 |
| Cube | 1731458304512 |
| Square root | 109.581020 (= 2√3002) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.2008 × |
12008 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and eight |
| Binary (base 2) | 10111011101000 |
| Octal (base 8) | 27350 |
| Hexadecimal (base 16) | 2EE8 |
| Base 3 | 121110202 |
| As time | 12008 seconds = 3 h 20 min 8 s |
Is 12008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12008 ÷ 2 = 6004) | 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 (12008 ÷ 4 = 3002) | 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 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 | Yes (12008 ÷ 8 = 1501) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 12008 a prime number?
No. 12008 = × 19 × 79, so it is divisible by 2.
What are the factors of 12008?
1, 2, 4, 8, 19, 38, 76, 79, 152, 158, 316, 632, 1501, 3002, 6004, 12008.
What is 12008 in binary?
10111011101000 (hexadecimal 2EE8, octal 27350).
What is the square root of 12008?
About 109.5810, exactly 2√3002.
Is 12008 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 12008?
It is a composite number with 16 divisors.