The number 33289
33289 is a twin prime (33287 and 33289 are both prime) and the 3564th prime number. Its only divisors are 1 and 33289.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33289: a twin prime (33287 and 33289 are both prime); the 3564th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33289 is prime, so its only factors are 1 and 33289. It is the 3564th prime; the next prime is 33301 and the one before is 33287.
- 3
The divisors add up to 33290; without 33289 itself that is 1, so 33289 is deficient (1 is less than 33289). Euler's totient φ(33289) = 33288 numbers up to 33289 share no factor with it.
- 4
The digits of 33289 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
33289 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33290 |
| Euler totient φ(n) | 33288 |
| Square | 1108157521 |
| Cube | 36889455716569 |
| Square root | 182.452734 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.3289 × |
33289 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and eighty-nine |
| Binary (base 2) | 1000001000001001 |
| Octal (base 8) | 101011 |
| Hexadecimal (base 16) | 8209 |
| Base 3 | 1200122221 |
| As time | 33289 seconds = 9 h 14 min 49 s |
Is 33289 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 33289 a prime number?
Yes. 33289 is divisible only by 1 and itself.
What are the factors of 33289?
1, 33289.
What is 33289 in binary?
1000001000001001 (hexadecimal 8209, octal 101011).
What is the square root of 33289?
About 182.4527.
Is 33289 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33289?
33289 is a twin prime (33287 and 33289 are both prime); the 3564th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.