The number 24091
24091 is the 2680th prime number. Its only divisors are 1 and 24091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24091: the 2680th prime number.
- 2
24091 is prime, so its only factors are 1 and 24091. It is the 2680th prime; the next prime is 24097 and the one before is 24083.
- 3
The divisors add up to 24092; without 24091 itself that is 1, so 24091 is deficient (1 is less than 24091). Euler's totient φ(24091) = 24090 numbers up to 24091 share no factor with it.
- 4
The digits of 24091 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 250 steps to reach 1.
24091 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24092 |
| Euler totient φ(n) | 24090 |
| Square | 580376281 |
| Cube | 13981844985571 |
| Square root | 155.212757 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 250 |
| Scientific notation | 2.4091 × |
24091 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and ninety-one |
| Binary (base 2) | 101111000011011 |
| Octal (base 8) | 57033 |
| Hexadecimal (base 16) | 5E1B |
| Base 3 | 1020001021 |
| As time | 24091 seconds = 6 h 41 min 31 s |
Is 24091 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 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 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 3) | 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 1) | 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 24091 a prime number?
Yes. 24091 is divisible only by 1 and itself.
What are the factors of 24091?
1, 24091.
What is 24091 in binary?
101111000011011 (hexadecimal 5E1B, octal 57033).
What is the square root of 24091?
About 155.2128.
Is 24091 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24091?
24091 is the 2680th prime number.