The number 33034
33034 is a composite number with 8 divisors. Its prime factorisation is 2 × 83 × 199. Divisors (8): 1, 2, 83, 166, 199, 398, 16517, 33034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33034 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33034 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 33034 itself that is 17366, so 33034 is deficient (17366 is less than 33034). Euler's totient φ(33034) = 16236 numbers up to 33034 share no factor with it.
- 4
The digits of 33034 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 191 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33034 = 2 \times 83 \times 199 \]
33034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 16236 |
| Square | 1091245156 |
| Cube | 36048192483304 |
| Square root | 181.752579 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.3034 × |
33034 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and thirty-four |
| Binary (base 2) | 1000000100001010 |
| Octal (base 8) | 100412 |
| Hexadecimal (base 16) | 810A |
| Base 3 | 1200022111 |
| As time | 33034 seconds = 9 h 10 min 34 s |
Is 33034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33034 ÷ 2 = 16517) | 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 2) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33034 a prime number?
No. 33034 = 2 × 83 × 199, so it is divisible by 2.
What are the factors of 33034?
1, 2, 83, 166, 199, 398, 16517, 33034.
What is 33034 in binary?
1000000100001010 (hexadecimal 810A, octal 100412).
What is the square root of 33034?
About 181.7526.
Is 33034 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33034?
It is a composite number with 8 divisors.