The number 38711
38711 is a twin prime (38711 and 38713 are both prime) and the 4079th prime number. Its only divisors are 1 and 38711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38711: a twin prime (38711 and 38713 are both prime); the 4079th prime number.
- 2
38711 is prime, so its only factors are 1 and 38711. It is the 4079th prime; the next prime is 38713 and the one before is 38707.
- 3
The divisors add up to 38712; without 38711 itself that is 1, so 38711 is deficient (1 is less than 38711). Euler's totient φ(38711) = 38710 numbers up to 38711 share no factor with it.
- 4
The digits of 38711 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
38711 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38712 |
| Euler totient φ(n) | 38710 |
| Square | 1498541521 |
| Cube | 58010040819431 |
| Square root | 196.751112 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8711 × |
38711 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and eleven |
| Binary (base 2) | 1001011100110111 |
| Octal (base 8) | 113467 |
| Hexadecimal (base 16) | 9737 |
| Base 3 | 1222002202 |
| As time | 38711 seconds = 10 h 45 min 11 s |
Is 38711 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 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 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 38711 a prime number?
Yes. 38711 is divisible only by 1 and itself.
What are the factors of 38711?
1, 38711.
What is 38711 in binary?
1001011100110111 (hexadecimal 9737, octal 113467).
What is the square root of 38711?
About 196.7511.
Is 38711 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38711?
38711 is a twin prime (38711 and 38713 are both prime); the 4079th prime number.