The number 38321
38321 is the 4045th prime number. Its only divisors are 1 and 38321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38321: the 4045th prime number.
- 2
38321 is prime, so its only factors are 1 and 38321. It is the 4045th prime; the next prime is 38327 and the one before is 38317.
- 3
The divisors add up to 38322; without 38321 itself that is 1, so 38321 is deficient (1 is less than 38321). Euler's totient φ(38321) = 38320 numbers up to 38321 share no factor with it.
- 4
The digits of 38321 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 75 steps to reach 1.
38321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38322 |
| Euler totient φ(n) | 38320 |
| Square | 1468499041 |
| Cube | 56274351750161 |
| Square root | 195.757503 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8321 × |
38321 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and twenty-one |
| Binary (base 2) | 1001010110110001 |
| Octal (base 8) | 112661 |
| Hexadecimal (base 16) | 95B1 |
| Base 3 | 1221120022 |
| As time | 38321 seconds = 10 h 38 min 41 s |
Is 38321 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 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 3) | 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 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 8) | 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 38321 a prime number?
Yes. 38321 is divisible only by 1 and itself.
What are the factors of 38321?
1, 38321.
What is 38321 in binary?
1001010110110001 (hexadecimal 95B1, octal 112661).
What is the square root of 38321?
About 195.7575.
Is 38321 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38321?
38321 is the 4045th prime number.