The number 38833
38833 is the 4091st prime number. Its only divisors are 1 and 38833.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38833: the 4091st prime number.
- 2
38833 is prime, so its only factors are 1 and 38833. It is the 4091st prime; the next prime is 38839 and the one before is 38821.
- 3
The divisors add up to 38834; without 38833 itself that is 1, so 38833 is deficient (1 is less than 38833). Euler's totient φ(38833) = 38832 numbers up to 38833 share no factor with it.
- 4
The digits of 38833 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
38833 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38834 |
| Euler totient φ(n) | 38832 |
| Square | 1508001889 |
| Cube | 58560237355537 |
| Square root | 197.060904 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 23 |
| Scientific notation | 3.8833 × |
38833 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and thirty-three |
| Binary (base 2) | 1001011110110001 |
| Octal (base 8) | 113661 |
| Hexadecimal (base 16) | 97B1 |
| Base 3 | 1222021021 |
| As time | 38833 seconds = 10 h 47 min 13 s |
Is 38833 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 38833 a prime number?
Yes. 38833 is divisible only by 1 and itself.
What are the factors of 38833?
1, 38833.
What is 38833 in binary?
1001011110110001 (hexadecimal 97B1, octal 113661).
What is the square root of 38833?
About 197.0609.
Is 38833 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38833?
38833 is the 4091st prime number.