The number 33889
33889 is the 3629th prime number. Its only divisors are 1 and 33889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33889: the 3629th prime number.
- 2
33889 is prime, so its only factors are 1 and 33889. It is the 3629th prime; the next prime is 33893 and the one before is 33871.
- 3
The divisors add up to 33890; without 33889 itself that is 1, so 33889 is deficient (1 is less than 33889). Euler's totient φ(33889) = 33888 numbers up to 33889 share no factor with it.
- 4
The digits of 33889 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
33889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33890 |
| Euler totient φ(n) | 33888 |
| Square | 1148464321 |
| Cube | 38920307374369 |
| Square root | 184.089652 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3889 × |
33889 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and eighty-nine |
| Binary (base 2) | 1000010001100001 |
| Octal (base 8) | 102141 |
| Hexadecimal (base 16) | 8461 |
| Base 3 | 1201111011 |
| As time | 33889 seconds = 9 h 24 min 49 s |
Is 33889 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33889 a prime number?
Yes. 33889 is divisible only by 1 and itself.
What are the factors of 33889?
1, 33889.
What is 33889 in binary?
1000010001100001 (hexadecimal 8461, octal 102141).
What is the square root of 33889?
About 184.0897.
Is 33889 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 33889?
33889 is the 3629th prime number.