The number 24001
24001 is the 2669th prime number. Its only divisors are 1 and 24001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24001: the 2669th prime number.
- 2
24001 is prime, so its only factors are 1 and 24001. It is the 2669th prime; the next prime is 24007 and the one before is 23993.
- 3
The divisors add up to 24002; without 24001 itself that is 1, so 24001 is deficient (1 is less than 24001). Euler's totient φ(24001) = 24000 numbers up to 24001 share no factor with it.
- 4
The digits of 24001 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 144 steps to reach 1.
24001 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24002 |
| Euler totient φ(n) | 24000 |
| Square | 576048001 |
| Cube | 13825728072001 |
| Square root | 154.922561 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.4001 × |
24001 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and one |
| Binary (base 2) | 101110111000001 |
| Octal (base 8) | 56701 |
| Hexadecimal (base 16) | 5DC1 |
| Base 3 | 1012220221 |
| As time | 24001 seconds = 6 h 40 min 1 s |
Is 24001 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 1) | 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 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24001 a prime number?
Yes. 24001 is divisible only by 1 and itself.
What are the factors of 24001?
1, 24001.
What is 24001 in binary?
101110111000001 (hexadecimal 5DC1, octal 56701).
What is the square root of 24001?
About 154.9226.
Is 24001 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 24001?
24001 is the 2669th prime number.