The number 38713
38713 is a twin prime (38711 and 38713 are both prime) and the 4080th prime number. Its only divisors are 1 and 38713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38713: a twin prime (38711 and 38713 are both prime); the 4080th prime number.
- 2
38713 is prime, so its only factors are 1 and 38713. It is the 4080th prime; the next prime is 38723 and the one before is 38711.
- 3
The divisors add up to 38714; without 38713 itself that is 1, so 38713 is deficient (1 is less than 38713). Euler's totient φ(38713) = 38712 numbers up to 38713 share no factor with it.
- 4
The digits of 38713 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
38713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38714 |
| Euler totient φ(n) | 38712 |
| Square | 1498696369 |
| Cube | 58019032533097 |
| Square root | 196.756194 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8713 × |
38713 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and thirteen |
| Binary (base 2) | 1001011100111001 |
| Octal (base 8) | 113471 |
| Hexadecimal (base 16) | 9739 |
| Base 3 | 1222002211 |
| As time | 38713 seconds = 10 h 45 min 13 s |
Is 38713 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 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 1) | 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 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38713 a prime number?
Yes. 38713 is divisible only by 1 and itself.
What are the factors of 38713?
1, 38713.
What is 38713 in binary?
1001011100111001 (hexadecimal 9739, octal 113471).
What is the square root of 38713?
About 196.7562.
Is 38713 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38713?
38713 is a twin prime (38711 and 38713 are both prime); the 4080th prime number.