The number 39971
39971 is the 4200th prime number. Its only divisors are 1 and 39971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39971: the 4200th prime number.
- 2
39971 is prime, so its only factors are 1 and 39971. It is the 4200th prime; the next prime is 39979 and the one before is 39953.
- 3
The divisors add up to 39972; without 39971 itself that is 1, so 39971 is deficient (1 is less than 39971). Euler's totient φ(39971) = 39970 numbers up to 39971 share no factor with it.
- 4
The digits of 39971 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 93 steps to reach 1.
39971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39972 |
| Euler totient φ(n) | 39970 |
| Square | 1597680841 |
| Cube | 63860900895611 |
| Square root | 199.927487 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.9971 × |
39971 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and seventy-one |
| Binary (base 2) | 1001110000100011 |
| Octal (base 8) | 116043 |
| Hexadecimal (base 16) | 9C23 |
| Base 3 | 2000211102 |
| As time | 39971 seconds = 11 h 6 min 11 s |
Is 39971 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 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 39971 a prime number?
Yes. 39971 is divisible only by 1 and itself.
What are the factors of 39971?
1, 39971.
What is 39971 in binary?
1001110000100011 (hexadecimal 9C23, octal 116043).
What is the square root of 39971?
About 199.9275.
Is 39971 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 39971?
39971 is the 4200th prime number.