The number 38333
38333 is the 4048th prime number. Its only divisors are 1 and 38333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38333: the 4048th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38333 is prime, so its only factors are 1 and 38333. It is the 4048th prime; the next prime is 38351 and the one before is 38329.
- 3
The divisors add up to 38334; without 38333 itself that is 1, so 38333 is deficient (1 is less than 38333). Euler's totient φ(38333) = 38332 numbers up to 38333 share no factor with it.
- 4
The digits of 38333 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
38333 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38334 |
| Euler totient φ(n) | 38332 |
| Square | 1469418889 |
| Cube | 56327234272037 |
| Square root | 195.788151 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8333 × |
38333 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and thirty-three |
| Binary (base 2) | 1001010110111101 |
| Octal (base 8) | 112675 |
| Hexadecimal (base 16) | 95BD |
| Base 3 | 1221120202 |
| As time | 38333 seconds = 10 h 38 min 53 s |
Is 38333 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38333 a prime number?
Yes. 38333 is divisible only by 1 and itself.
What are the factors of 38333?
1, 38333.
What is 38333 in binary?
1001010110111101 (hexadecimal 95BD, octal 112675).
What is the square root of 38333?
About 195.7882.
Is 38333 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38333?
38333 is the 4048th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.