The number 33042
33042 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5507. Divisors (8): 1, 2, 3, 6, 5507, 11014, 16521, 33042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33042 is composite. Its prime factorisation is
- 3
The divisors add up to 66096; without 33042 itself that is 33054, so 33042 is abundant (33054 is more than 33042). Euler's totient φ(33042) = 11012 numbers up to 33042 share no factor with it.
- 4
The digits of 33042 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
\[ 33042 = 2 \times 3 \times 5507 \]
33042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66096 |
| Euler totient φ(n) | 11012 |
| Square | 1091773764 |
| Cube | 36074388710088 |
| Square root | 181.774586 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3042 × |
33042 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and forty-two |
| Binary (base 2) | 1000000100010010 |
| Octal (base 8) | 100422 |
| Hexadecimal (base 16) | 8112 |
| Base 3 | 1200022210 |
| As time | 33042 seconds = 9 h 10 min 42 s |
Is 33042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33042 ÷ 2 = 16521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33042 ÷ 3 = 11014) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33042 ÷ 6 = 5507) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33042 a prime number?
No. 33042 = 2 × 3 × 5507, so it is divisible by 2.
What are the factors of 33042?
1, 2, 3, 6, 5507, 11014, 16521, 33042.
What is 33042 in binary?
1000000100010010 (hexadecimal 8112, octal 100422).
What is the square root of 33042?
About 181.7746.
Is 33042 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33042?
It is a composite number with 8 divisors.