The number 39671
39671 is the 4171st prime number. Its only divisors are 1 and 39671.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39671: the 4171st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
39671 is prime, so its only factors are 1 and 39671. It is the 4171st prime; the next prime is 39679 and the one before is 39667.
- 3
The divisors add up to 39672; without 39671 itself that is 1, so 39671 is deficient (1 is less than 39671). Euler's totient φ(39671) = 39670 numbers up to 39671 share no factor with it.
- 4
The digits of 39671 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
39671 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39672 |
| Euler totient φ(n) | 39670 |
| Square | 1573788241 |
| Cube | 62433753308711 |
| Square root | 199.175802 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.9671 × |
39671 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand six hundred and seventy-one |
| Binary (base 2) | 1001101011110111 |
| Octal (base 8) | 115367 |
| Hexadecimal (base 16) | 9AF7 |
| Base 3 | 2000102022 |
| As time | 39671 seconds = 11 h 1 min 11 s |
Is 39671 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 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 39671 a prime number?
Yes. 39671 is divisible only by 1 and itself.
What are the factors of 39671?
1, 39671.
What is 39671 in binary?
1001101011110111 (hexadecimal 9AF7, octal 115367).
What is the square root of 39671?
About 199.1758.
Is 39671 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 39671?
39671 is the 4171st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.