The number 24007
24007 is the 2670th prime number. Its only divisors are 1 and 24007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24007: the 2670th prime number.
- 2
24007 is prime, so its only factors are 1 and 24007. It is the 2670th prime; the next prime is 24019 and the one before is 24001.
- 3
The divisors add up to 24008; without 24007 itself that is 1, so 24007 is deficient (1 is less than 24007). Euler's totient φ(24007) = 24006 numbers up to 24007 share no factor with it.
- 4
The digits of 24007 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
24007 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24008 |
| Euler totient φ(n) | 24006 |
| Square | 576336049 |
| Cube | 13836099528343 |
| Square root | 154.941925 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.4007 × |
24007 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and seven |
| Binary (base 2) | 101110111000111 |
| Octal (base 8) | 56707 |
| Hexadecimal (base 16) | 5DC7 |
| Base 3 | 1012221011 |
| As time | 24007 seconds = 6 h 40 min 7 s |
Is 24007 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24007 a prime number?
Yes. 24007 is divisible only by 1 and itself.
What are the factors of 24007?
1, 24007.
What is 24007 in binary?
101110111000111 (hexadecimal 5DC7, octal 56707).
What is the square root of 24007?
About 154.9419.
Is 24007 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 24007?
24007 is the 2670th prime number.