The number 38971
38971 is the 4105th prime number. Its only divisors are 1 and 38971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38971: the 4105th prime number.
- 2
38971 is prime, so its only factors are 1 and 38971. It is the 4105th prime; the next prime is 38977 and the one before is 38959.
- 3
The divisors add up to 38972; without 38971 itself that is 1, so 38971 is deficient (1 is less than 38971). Euler's totient φ(38971) = 38970 numbers up to 38971 share no factor with it.
- 4
The digits of 38971 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
38971 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38972 |
| Euler totient φ(n) | 38970 |
| Square | 1518738841 |
| Cube | 59186771372611 |
| Square root | 197.410739 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8971 × |
38971 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and seventy-one |
| Binary (base 2) | 1001100000111011 |
| Octal (base 8) | 114073 |
| Hexadecimal (base 16) | 983B |
| Base 3 | 1222110101 |
| As time | 38971 seconds = 10 h 49 min 31 s |
Is 38971 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | 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 38971 a prime number?
Yes. 38971 is divisible only by 1 and itself.
What are the factors of 38971?
1, 38971.
What is 38971 in binary?
1001100000111011 (hexadecimal 983B, octal 114073).
What is the square root of 38971?
About 197.4107.
Is 38971 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38971?
38971 is the 4105th prime number.