The number 38993
38993 is the 4107th prime number. Its only divisors are 1 and 38993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38993: the 4107th prime number.
- 2
38993 is prime, so its only factors are 1 and 38993. It is the 4107th prime; the next prime is 39019 and the one before is 38977.
- 3
The divisors add up to 38994; without 38993 itself that is 1, so 38993 is deficient (1 is less than 38993). Euler's totient φ(38993) = 38992 numbers up to 38993 share no factor with it.
- 4
The digits of 38993 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
38993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38994 |
| Euler totient φ(n) | 38992 |
| Square | 1520454049 |
| Cube | 59287064732657 |
| Square root | 197.466453 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8993 × |
38993 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and ninety-three |
| Binary (base 2) | 1001100001010001 |
| Octal (base 8) | 114121 |
| Hexadecimal (base 16) | 9851 |
| Base 3 | 1222111012 |
| As time | 38993 seconds = 10 h 49 min 53 s |
Is 38993 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 38993 a prime number?
Yes. 38993 is divisible only by 1 and itself.
What are the factors of 38993?
1, 38993.
What is 38993 in binary?
1001100001010001 (hexadecimal 9851, octal 114121).
What is the square root of 38993?
About 197.4665.
Is 38993 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 38993?
38993 is the 4107th prime number.