The number 38011
38011 is the 4018th prime number. Its only divisors are 1 and 38011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38011: the 4018th prime number.
- 2
38011 is prime, so its only factors are 1 and 38011. It is the 4018th prime; the next prime is 38039 and the one before is 37997.
- 3
The divisors add up to 38012; without 38011 itself that is 1, so 38011 is deficient (1 is less than 38011). Euler's totient φ(38011) = 38010 numbers up to 38011 share no factor with it.
- 4
The digits of 38011 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
38011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38012 |
| Euler totient φ(n) | 38010 |
| Square | 1444836121 |
| Cube | 54919665795331 |
| Square root | 194.964099 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.8011 × |
38011 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and eleven |
| Binary (base 2) | 1001010001111011 |
| Octal (base 8) | 112173 |
| Hexadecimal (base 16) | 947B |
| Base 3 | 1221010211 |
| As time | 38011 seconds = 10 h 33 min 31 s |
Is 38011 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 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38011 a prime number?
Yes. 38011 is divisible only by 1 and itself.
What are the factors of 38011?
1, 38011.
What is 38011 in binary?
1001010001111011 (hexadecimal 947B, octal 112173).
What is the square root of 38011?
About 194.9641.
Is 38011 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 38011?
38011 is the 4018th prime number.