The number 24133
24133 is the 2687th prime number. Its only divisors are 1 and 24133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24133: the 2687th prime number.
- 2
24133 is prime, so its only factors are 1 and 24133. It is the 2687th prime; the next prime is 24137 and the one before is 24121.
- 3
The divisors add up to 24134; without 24133 itself that is 1, so 24133 is deficient (1 is less than 24133). Euler's totient φ(24133) = 24132 numbers up to 24133 share no factor with it.
- 4
The digits of 24133 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 43 steps to reach 1.
24133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24134 |
| Euler totient φ(n) | 24132 |
| Square | 582401689 |
| Cube | 14055099960637 |
| Square root | 155.347996 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4133 × |
24133 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and thirty-three |
| Binary (base 2) | 101111001000101 |
| Octal (base 8) | 57105 |
| Hexadecimal (base 16) | 5E45 |
| Base 3 | 1020002211 |
| As time | 24133 seconds = 6 h 42 min 13 s |
Is 24133 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 3) | 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 5) | 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 3) | 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 24133 a prime number?
Yes. 24133 is divisible only by 1 and itself.
What are the factors of 24133?
1, 24133.
What is 24133 in binary?
101111001000101 (hexadecimal 5E45, octal 57105).
What is the square root of 24133?
About 155.3480.
Is 24133 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 24133?
24133 is the 2687th prime number.