The number 3264
3264 is a composite number with 28 divisors. Its prime factorisation is × 3 × 17. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68 … 3264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3264 is composite. Its prime factorisation is
- 3
The divisors add up to 9144; without 3264 itself that is 5880, so 3264 is abundant (5880 is more than 3264). Euler's totient φ(3264) = 1024 numbers up to 3264 share no factor with it.
- 4
The digits of 3264 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3264 = 2^{6} \times 3 \times 17 \]3264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 9144 |
| Euler totient φ(n) | 1024 |
| Square | 10653696 |
| Cube | 34773663744 |
| Square root | 57.131427 (= 8√51) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.264 × |
3264 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and sixty-four |
| Roman numerals | MMMCCLXIV |
| Binary (base 2) | 110011000000 |
| Octal (base 8) | 6300 |
| Hexadecimal (base 16) | CC0 |
| Base 3 | 11110220 |
| As time | 3264 seconds = 54 min 24 s |
Is 3264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3264 ÷ 2 = 1632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3264 ÷ 3 = 1088) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3264 ÷ 4 = 816) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3264 ÷ 6 = 544) | 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 | Yes (3264 ÷ 8 = 408) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3264 ÷ 12 = 272) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3264 a prime number?
No. 3264 = × 3 × 17, so it is divisible by 2.
What are the factors of 3264?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264.
What is 3264 in binary?
110011000000 (hexadecimal CC0, octal 6300).
What is the square root of 3264?
About 57.1314, exactly 8√51.
What is 3264 in Roman numerals?
MMMCCLXIV.
Is 3264 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3264?
It is a composite number with 28 divisors.