The number 38231
38231 is the 4035th prime number. Its only divisors are 1 and 38231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38231: the 4035th prime number.
- 2
38231 is prime, so its only factors are 1 and 38231. It is the 4035th prime; the next prime is 38237 and the one before is 38219.
- 3
The divisors add up to 38232; without 38231 itself that is 1, so 38231 is deficient (1 is less than 38231). Euler's totient φ(38231) = 38230 numbers up to 38231 share no factor with it.
- 4
The digits of 38231 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
38231 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38232 |
| Euler totient φ(n) | 38230 |
| Square | 1461609361 |
| Cube | 55878787480391 |
| Square root | 195.527492 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8231 × |
38231 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and thirty-one |
| Binary (base 2) | 1001010101010111 |
| Octal (base 8) | 112527 |
| Hexadecimal (base 16) | 9557 |
| Base 3 | 1221102222 |
| As time | 38231 seconds = 10 h 37 min 11 s |
Is 38231 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 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38231 a prime number?
Yes. 38231 is divisible only by 1 and itself.
What are the factors of 38231?
1, 38231.
What is 38231 in binary?
1001010101010111 (hexadecimal 9557, octal 112527).
What is the square root of 38231?
About 195.5275.
Is 38231 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38231?
38231 is the 4035th prime number.