The number 38371
38371 is the 4050th prime number. Its only divisors are 1 and 38371.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38371: the 4050th prime number.
- 2
38371 is prime, so its only factors are 1 and 38371. It is the 4050th prime; the next prime is 38377 and the one before is 38351.
- 3
The divisors add up to 38372; without 38371 itself that is 1, so 38371 is deficient (1 is less than 38371). Euler's totient φ(38371) = 38370 numbers up to 38371 share no factor with it.
- 4
The digits of 38371 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.
38371 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38372 |
| Euler totient φ(n) | 38370 |
| Square | 1472333641 |
| Cube | 56494914138811 |
| Square root | 195.885170 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8371 × |
38371 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and seventy-one |
| Binary (base 2) | 1001010111100011 |
| Octal (base 8) | 112743 |
| Hexadecimal (base 16) | 95E3 |
| Base 3 | 1221122011 |
| As time | 38371 seconds = 10 h 39 min 31 s |
Is 38371 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 4) | 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 4) | 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 3) | 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 38371 a prime number?
Yes. 38371 is divisible only by 1 and itself.
What are the factors of 38371?
1, 38371.
What is 38371 in binary?
1001010111100011 (hexadecimal 95E3, octal 112743).
What is the square root of 38371?
About 195.8852.
Is 38371 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38371?
38371 is the 4050th prime number.