The number 38747
38747 is a twin prime (38747 and 38749 are both prime) and the 4084th prime number. Its only divisors are 1 and 38747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38747: a twin prime (38747 and 38749 are both prime); the 4084th prime number.
- 2
38747 is prime, so its only factors are 1 and 38747. It is the 4084th prime; the next prime is 38749 and the one before is 38737.
- 3
The divisors add up to 38748; without 38747 itself that is 1, so 38747 is deficient (1 is less than 38747). Euler's totient φ(38747) = 38746 numbers up to 38747 share no factor with it.
- 4
The digits of 38747 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
38747 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38748 |
| Euler totient φ(n) | 38746 |
| Square | 1501330009 |
| Cube | 58172033858723 |
| Square root | 196.842577 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8747 × |
38747 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and forty-seven |
| Binary (base 2) | 1001011101011011 |
| Octal (base 8) | 113533 |
| Hexadecimal (base 16) | 975B |
| Base 3 | 1222011002 |
| As time | 38747 seconds = 10 h 45 min 47 s |
Is 38747 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | 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 38747 a prime number?
Yes. 38747 is divisible only by 1 and itself.
What are the factors of 38747?
1, 38747.
What is 38747 in binary?
1001011101011011 (hexadecimal 975B, octal 113533).
What is the square root of 38747?
About 196.8426.
Is 38747 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38747?
38747 is a twin prime (38747 and 38749 are both prime); the 4084th prime number.