The number 24006
24006 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4001. Divisors (8): 1, 2, 3, 6, 4001, 8002, 12003, 24006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24006 is composite. Its prime factorisation is
- 3
The divisors add up to 48024; without 24006 itself that is 24018, so 24006 is abundant (24018 is more than 24006). Euler's totient φ(24006) = 8000 numbers up to 24006 share no factor with it.
- 4
The digits of 24006 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24006 = 2 \times 3 \times 4001 \]
24006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48024 |
| Euler totient φ(n) | 8000 |
| Square | 576288036 |
| Cube | 13834370592216 |
| Square root | 154.938698 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4006 × |
24006 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and six |
| Binary (base 2) | 101110111000110 |
| Octal (base 8) | 56706 |
| Hexadecimal (base 16) | 5DC6 |
| Base 3 | 1012221010 |
| As time | 24006 seconds = 6 h 40 min 6 s |
Is 24006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24006 ÷ 2 = 12003) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24006 ÷ 3 = 8002) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24006 ÷ 6 = 4001) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24006 a prime number?
No. 24006 = 2 × 3 × 4001, so it is divisible by 2.
What are the factors of 24006?
1, 2, 3, 6, 4001, 8002, 12003, 24006.
What is 24006 in binary?
101110111000110 (hexadecimal 5DC6, octal 56706).
What is the square root of 24006?
About 154.9387.
Is 24006 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24006?
It is a composite number with 8 divisors.