The number 33871
33871 is the 3628th prime number. Its only divisors are 1 and 33871.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33871: the 3628th prime number.
- 2
33871 is prime, so its only factors are 1 and 33871. It is the 3628th prime; the next prime is 33889 and the one before is 33863.
- 3
The divisors add up to 33872; without 33871 itself that is 1, so 33871 is deficient (1 is less than 33871). Euler's totient φ(33871) = 33870 numbers up to 33871 share no factor with it.
- 4
The digits of 33871 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 41 steps to reach 1.
33871 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33872 |
| Euler totient φ(n) | 33870 |
| Square | 1147244641 |
| Cube | 38858323235311 |
| Square root | 184.040756 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3871 × |
33871 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and seventy-one |
| Binary (base 2) | 1000010001001111 |
| Octal (base 8) | 102117 |
| Hexadecimal (base 16) | 844F |
| Base 3 | 1201110111 |
| As time | 33871 seconds = 9 h 24 min 31 s |
Is 33871 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 5) | 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 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 2) | 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 33871 a prime number?
Yes. 33871 is divisible only by 1 and itself.
What are the factors of 33871?
1, 33871.
What is 33871 in binary?
1000010001001111 (hexadecimal 844F, octal 102117).
What is the square root of 33871?
About 184.0408.
Is 33871 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33871?
33871 is the 3628th prime number.