The number 33267
33267 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 853. Divisors (8): 1, 3, 13, 39, 853, 2559, 11089, 33267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33267 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33267 is composite. Its prime factorisation is
- 3
The divisors add up to 47824; without 33267 itself that is 14557, so 33267 is deficient (14557 is less than 33267). Euler's totient φ(33267) = 20448 numbers up to 33267 share no factor with it.
- 4
The digits of 33267 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33267 = 3 \times 13 \times 853 \]
33267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47824 |
| Euler totient φ(n) | 20448 |
| Square | 1106693289 |
| Cube | 36816365645163 |
| Square root | 182.392434 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.3267 × |
33267 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and sixty-seven |
| Binary (base 2) | 1000000111110011 |
| Octal (base 8) | 100763 |
| Hexadecimal (base 16) | 81F3 |
| Base 3 | 1200122010 |
| As time | 33267 seconds = 9 h 14 min 27 s |
Is 33267 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 | Yes (33267 ÷ 3 = 11089) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33267 a prime number?
No. 33267 = 3 × 13 × 853, so it is divisible by 3.
What are the factors of 33267?
1, 3, 13, 39, 853, 2559, 11089, 33267.
What is 33267 in binary?
1000000111110011 (hexadecimal 81F3, octal 100763).
What is the square root of 33267?
About 182.3924.
Is 33267 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33267?
It is a composite number with 8 divisors.