The number 33006
33006 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5501. Divisors (8): 1, 2, 3, 6, 5501, 11002, 16503, 33006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33006 is composite. Its prime factorisation is
- 3
The divisors add up to 66024; without 33006 itself that is 33018, so 33006 is abundant (33018 is more than 33006). Euler's totient φ(33006) = 11000 numbers up to 33006 share no factor with it.
- 4
The digits of 33006 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33006 = 2 \times 3 \times 5501 \]
33006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66024 |
| Euler totient φ(n) | 11000 |
| Square | 1089396036 |
| Cube | 35956605564216 |
| Square root | 181.675535 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3006 × |
33006 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and six |
| Binary (base 2) | 1000000011101110 |
| Octal (base 8) | 100356 |
| Hexadecimal (base 16) | 80EE |
| Base 3 | 1200021110 |
| As time | 33006 seconds = 9 h 10 min 6 s |
Is 33006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33006 ÷ 2 = 16503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33006 ÷ 3 = 11002) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33006 ÷ 6 = 5501) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33006 a prime number?
No. 33006 = 2 × 3 × 5501, so it is divisible by 2.
What are the factors of 33006?
1, 2, 3, 6, 5501, 11002, 16503, 33006.
What is 33006 in binary?
1000000011101110 (hexadecimal 80EE, octal 100356).
What is the square root of 33006?
About 181.6755.
Is 33006 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33006?
It is a composite number with 8 divisors.