The number 38671
38671 is a twin prime (38669 and 38671 are both prime) and the 4074th prime number. Its only divisors are 1 and 38671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38671: a twin prime (38669 and 38671 are both prime); the 4074th prime number.
- 2
38671 is prime, so its only factors are 1 and 38671. It is the 4074th prime; the next prime is 38677 and the one before is 38669.
- 3
The divisors add up to 38672; without 38671 itself that is 1, so 38671 is deficient (1 is less than 38671). Euler's totient φ(38671) = 38670 numbers up to 38671 share no factor with it.
- 4
The digits of 38671 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
38671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38672 |
| Euler totient φ(n) | 38670 |
| Square | 1495446241 |
| Cube | 57830401585711 |
| Square root | 196.649434 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8671 × |
38671 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and seventy-one |
| Binary (base 2) | 1001011100001111 |
| Octal (base 8) | 113417 |
| Hexadecimal (base 16) | 970F |
| Base 3 | 1222001021 |
| As time | 38671 seconds = 10 h 44 min 31 s |
Is 38671 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 38671 a prime number?
Yes. 38671 is divisible only by 1 and itself.
What are the factors of 38671?
1, 38671.
What is 38671 in binary?
1001011100001111 (hexadecimal 970F, octal 113417).
What is the square root of 38671?
About 196.6494.
Is 38671 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38671?
38671 is a twin prime (38669 and 38671 are both prime); the 4074th prime number.