The number 24008
24008 is a composite number with 8 divisors. Its prime factorisation is × 3001. Divisors (8): 1, 2, 4, 8, 3001, 6002, 12004, 24008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24008 is composite. Its prime factorisation is
- 3
The divisors add up to 45030; without 24008 itself that is 21022, so 24008 is deficient (21022 is less than 24008). Euler's totient φ(24008) = 12000 numbers up to 24008 share no factor with it.
- 4
The digits of 24008 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24008 = 2^{3} \times 3001 \]24008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45030 |
| Euler totient φ(n) | 12000 |
| Square | 576384064 |
| Cube | 13837828608512 |
| Square root | 154.945152 (= 2√6002) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4008 × |
24008 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and eight |
| Binary (base 2) | 101110111001000 |
| Octal (base 8) | 56710 |
| Hexadecimal (base 16) | 5DC8 |
| Base 3 | 1012221012 |
| As time | 24008 seconds = 6 h 40 min 8 s |
Is 24008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24008 ÷ 2 = 12004) | 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 (24008 ÷ 4 = 6002) | 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 5) | 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 (24008 ÷ 8 = 3001) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | 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 24008 a prime number?
No. 24008 = × 3001, so it is divisible by 2.
What are the factors of 24008?
1, 2, 4, 8, 3001, 6002, 12004, 24008.
What is 24008 in binary?
101110111001000 (hexadecimal 5DC8, octal 56710).
What is the square root of 24008?
About 154.9452, exactly 2√6002.
Is 24008 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 24008?
It is a composite number with 8 divisors.