The number 3324
3324 is a composite number with 12 divisors. Its prime factorisation is × 3 × 277. Divisors (12): 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3324: a Harshad number: divisible by its digit sum 12.
- 2
3324 is composite. Its prime factorisation is
- 3
The divisors add up to 7784; without 3324 itself that is 4460, so 3324 is abundant (4460 is more than 3324). Euler's totient φ(3324) = 1104 numbers up to 3324 share no factor with it.
- 4
The digits of 3324 add up to 12, 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
\[ 3324 = 2^{2} \times 3 \times 277 \]3324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7784 |
| Euler totient φ(n) | 1104 |
| Square | 11048976 |
| Cube | 36726796224 |
| Square root | 57.654141 (= 2√831) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.324 × |
3324 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and twenty-four |
| Roman numerals | MMMCCCXXIV |
| Binary (base 2) | 110011111100 |
| Octal (base 8) | 6374 |
| Hexadecimal (base 16) | CFC |
| Base 3 | 11120010 |
| As time | 3324 seconds = 55 min 24 s |
Is 3324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3324 ÷ 2 = 1662) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3324 ÷ 3 = 1108) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3324 ÷ 4 = 831) | 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 (3324 ÷ 6 = 554) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3324 ÷ 12 = 277) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3324 a prime number?
No. 3324 = × 3 × 277, so it is divisible by 2.
What are the factors of 3324?
1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324.
What is 3324 in binary?
110011111100 (hexadecimal CFC, octal 6374).
What is the square root of 3324?
About 57.6541, exactly 2√831.
What is 3324 in Roman numerals?
MMMCCCXXIV.
Is 3324 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3324?
3324 is a Harshad number: divisible by its digit sum 12.