The number 34033
34033 is a twin prime (34031 and 34033 are both prime) and the 3641st prime number. Its only divisors are 1 and 34033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34033: a twin prime (34031 and 34033 are both prime); the 3641st prime number.
- 2
34033 is prime, so its only factors are 1 and 34033. It is the 3641st prime; the next prime is 34039 and the one before is 34031.
- 3
The divisors add up to 34034; without 34033 itself that is 1, so 34033 is deficient (1 is less than 34033). Euler's totient φ(34033) = 34032 numbers up to 34033 share no factor with it.
- 4
The digits of 34033 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
34033 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34034 |
| Euler totient φ(n) | 34032 |
| Square | 1158245089 |
| Cube | 39418555113937 |
| Square root | 184.480351 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4033 × |
34033 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and thirty-three |
| Binary (base 2) | 1000010011110001 |
| Octal (base 8) | 102361 |
| Hexadecimal (base 16) | 84F1 |
| Base 3 | 1201200111 |
| As time | 34033 seconds = 9 h 27 min 13 s |
Is 34033 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 3) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 34033 a prime number?
Yes. 34033 is divisible only by 1 and itself.
What are the factors of 34033?
1, 34033.
What is 34033 in binary?
1000010011110001 (hexadecimal 84F1, octal 102361).
What is the square root of 34033?
About 184.4804.
Is 34033 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 34033?
34033 is a twin prime (34031 and 34033 are both prime); the 3641st prime number.