The number 38327
38327 is a twin prime (38327 and 38329 are both prime) and the 4046th prime number. Its only divisors are 1 and 38327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38327: a twin prime (38327 and 38329 are both prime); the 4046th prime number.
- 2
38327 is prime, so its only factors are 1 and 38327. It is the 4046th prime; the next prime is 38329 and the one before is 38321.
- 3
The divisors add up to 38328; without 38327 itself that is 1, so 38327 is deficient (1 is less than 38327). Euler's totient φ(38327) = 38326 numbers up to 38327 share no factor with it.
- 4
The digits of 38327 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
38327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38328 |
| Euler totient φ(n) | 38326 |
| Square | 1468958929 |
| Cube | 56300788871783 |
| Square root | 195.772828 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.8327 × |
38327 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and twenty-seven |
| Binary (base 2) | 1001010110110111 |
| Octal (base 8) | 112667 |
| Hexadecimal (base 16) | 95B7 |
| Base 3 | 1221120112 |
| As time | 38327 seconds = 10 h 38 min 47 s |
Is 38327 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 2) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38327 a prime number?
Yes. 38327 is divisible only by 1 and itself.
What are the factors of 38327?
1, 38327.
What is 38327 in binary?
1001010110110111 (hexadecimal 95B7, octal 112667).
What is the square root of 38327?
About 195.7728.
Is 38327 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38327?
38327 is a twin prime (38327 and 38329 are both prime); the 4046th prime number.