The number 33067
33067 is a composite number with 4 divisors. Its prime factorisation is 43 × 769. Divisors (4): 1, 43, 769, 33067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33067: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 769, the product of two primes.
- 2
33067 is composite. Its prime factorisation is
- 3
The divisors add up to 33880; without 33067 itself that is 813, so 33067 is deficient (813 is less than 33067). Euler's totient φ(33067) = 32256 numbers up to 33067 share no factor with it.
- 4
The digits of 33067 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33067 = 43 \times 769 \]
33067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33880 |
| Euler totient φ(n) | 32256 |
| Square | 1093426489 |
| Cube | 36156333711763 |
| Square root | 181.843339 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.3067 × |
33067 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and sixty-seven |
| Binary (base 2) | 1000000100101011 |
| Octal (base 8) | 100453 |
| Hexadecimal (base 16) | 812B |
| Base 3 | 1200100201 |
| As time | 33067 seconds = 9 h 11 min 7 s |
Is 33067 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 3) | 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 | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33067 a prime number?
No. 33067 = 43 × 769, so it is divisible by 43.
What are the factors of 33067?
1, 43, 769, 33067.
What is 33067 in binary?
1000000100101011 (hexadecimal 812B, octal 100453).
What is the square root of 33067?
About 181.8433.
Is 33067 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33067?
33067 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 769, the product of two primes.