The number 33809
33809 is a twin prime (33809 and 33811 are both prime) and the 3621st prime number. Its only divisors are 1 and 33809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33809: a twin prime (33809 and 33811 are both prime); the 3621st prime number.
- 2
33809 is prime, so its only factors are 1 and 33809. It is the 3621st prime; the next prime is 33811 and the one before is 33797.
- 3
The divisors add up to 33810; without 33809 itself that is 1, so 33809 is deficient (1 is less than 33809). Euler's totient φ(33809) = 33808 numbers up to 33809 share no factor with it.
- 4
The digits of 33809 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
33809 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33810 |
| Euler totient φ(n) | 33808 |
| Square | 1143048481 |
| Cube | 38645326094129 |
| Square root | 183.872238 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3809 × |
33809 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and nine |
| Binary (base 2) | 1000010000010001 |
| Octal (base 8) | 102021 |
| Hexadecimal (base 16) | 8411 |
| Base 3 | 1201101012 |
| As time | 33809 seconds = 9 h 23 min 29 s |
Is 33809 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33809 a prime number?
Yes. 33809 is divisible only by 1 and itself.
What are the factors of 33809?
1, 33809.
What is 33809 in binary?
1000010000010001 (hexadecimal 8411, octal 102021).
What is the square root of 33809?
About 183.8722.
Is 33809 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33809?
33809 is a twin prime (33809 and 33811 are both prime); the 3621st prime number.