The number 37871
37871 is the 4005th prime number. Its only divisors are 1 and 37871.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37871: the 4005th prime number.
- 2
37871 is prime, so its only factors are 1 and 37871. It is the 4005th prime; the next prime is 37879 and the one before is 37861.
- 3
The divisors add up to 37872; without 37871 itself that is 1, so 37871 is deficient (1 is less than 37871). Euler's totient φ(37871) = 37870 numbers up to 37871 share no factor with it.
- 4
The digits of 37871 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 106 steps to reach 1.
37871 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37872 |
| Euler totient φ(n) | 37870 |
| Square | 1434212641 |
| Cube | 54315066927311 |
| Square root | 194.604728 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.7871 × |
37871 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and seventy-one |
| Binary (base 2) | 1001001111101111 |
| Octal (base 8) | 111757 |
| Hexadecimal (base 16) | 93EF |
| Base 3 | 1220221122 |
| As time | 37871 seconds = 10 h 31 min 11 s |
Is 37871 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 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 9) | 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 37871 a prime number?
Yes. 37871 is divisible only by 1 and itself.
What are the factors of 37871?
1, 37871.
What is 37871 in binary?
1001001111101111 (hexadecimal 93EF, octal 111757).
What is the square root of 37871?
About 194.6047.
Is 37871 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 37871?
37871 is the 4005th prime number.