The number 3267
3267 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3267 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3267 is composite. Its prime factorisation is
- 3
The divisors add up to 5320; without 3267 itself that is 2053, so 3267 is deficient (2053 is less than 3267). Euler's totient φ(3267) = 1980 numbers up to 3267 share no factor with it.
- 4
The digits of 3267 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3267 = 3^{3} \times 11^{2} \]3267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5320 |
| Euler totient φ(n) | 1980 |
| Square | 10673289 |
| Cube | 34869635163 |
| Square root | 57.157677 (= 33√3) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.267 × |
3267 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and sixty-seven |
| Roman numerals | MMMCCLXVII |
| Binary (base 2) | 110011000011 |
| Octal (base 8) | 6303 |
| Hexadecimal (base 16) | CC3 |
| Base 3 | 11111000 |
| As time | 3267 seconds = 54 min 27 s |
Is 3267 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 (3267 ÷ 3 = 1089) | 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 5) | 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 | Yes (3267 ÷ 9 = 363) | 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 | Yes (3267 ÷ 11 = 297) | 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 3267 a prime number?
No. 3267 = × , so it is divisible by 3.
What are the factors of 3267?
1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267.
What is 3267 in binary?
110011000011 (hexadecimal CC3, octal 6303).
What is the square root of 3267?
About 57.1577, exactly 33√3.
What is 3267 in Roman numerals?
MMMCCLXVII.
Is 3267 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3267?
It is a composite number with 12 divisors.