The number 38329
38329 is a twin prime (38327 and 38329 are both prime) and the 4047th prime number. Its only divisors are 1 and 38329.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38329: a twin prime (38327 and 38329 are both prime); the 4047th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38329 is prime, so its only factors are 1 and 38329. It is the 4047th prime; the next prime is 38333 and the one before is 38327.
- 3
The divisors add up to 38330; without 38329 itself that is 1, so 38329 is deficient (1 is less than 38329). Euler's totient φ(38329) = 38328 numbers up to 38329 share no factor with it.
- 4
The digits of 38329 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 75 steps to reach 1.
38329 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38330 |
| Euler totient φ(n) | 38328 |
| Square | 1469112241 |
| Cube | 56309603085289 |
| Square root | 195.777935 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8329 × |
38329 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and twenty-nine |
| Binary (base 2) | 1001010110111001 |
| Octal (base 8) | 112671 |
| Hexadecimal (base 16) | 95B9 |
| Base 3 | 1221120121 |
| As time | 38329 seconds = 10 h 38 min 49 s |
Is 38329 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 4) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 38329 a prime number?
Yes. 38329 is divisible only by 1 and itself.
What are the factors of 38329?
1, 38329.
What is 38329 in binary?
1001010110111001 (hexadecimal 95B9, octal 112671).
What is the square root of 38329?
About 195.7779.
Is 38329 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38329?
38329 is a twin prime (38327 and 38329 are both prime); the 4047th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.