The number 3288
3288 is a composite number with 16 divisors. Its prime factorisation is × 3 × 137. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3288 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3288 is composite. Its prime factorisation is
- 3
The divisors add up to 8280; without 3288 itself that is 4992, so 3288 is abundant (4992 is more than 3288). Euler's totient φ(3288) = 1088 numbers up to 3288 share no factor with it.
- 4
The digits of 3288 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3288 = 2^{3} \times 3 \times 137 \]3288 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8280 |
| Euler totient φ(n) | 1088 |
| Square | 10810944 |
| Cube | 35546383872 |
| Square root | 57.341085 (= 2√822) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.288 × |
3288 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and eighty-eight |
| Roman numerals | MMMCCLXXXVIII |
| Binary (base 2) | 110011011000 |
| Octal (base 8) | 6330 |
| Hexadecimal (base 16) | CD8 |
| Base 3 | 11111210 |
| As time | 3288 seconds = 54 min 48 s |
Is 3288 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3288 ÷ 2 = 1644) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3288 ÷ 3 = 1096) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3288 ÷ 4 = 822) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3288 ÷ 6 = 548) | 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 | Yes (3288 ÷ 8 = 411) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3288 ÷ 12 = 274) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3288 a prime number?
No. 3288 = × 3 × 137, so it is divisible by 2.
What are the factors of 3288?
1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288.
What is 3288 in binary?
110011011000 (hexadecimal CD8, octal 6330).
What is the square root of 3288?
About 57.3411, exactly 2√822.
What is 3288 in Roman numerals?
MMMCCLXXXVIII.
Is 3288 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3288?
It is a composite number with 16 divisors.