The number 3327
3327 is a composite number with 4 divisors. Its prime factorisation is 3 × 1109. Divisors (4): 1, 3, 1109, 3327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3327: a semiprime: 3 × 1109, the product of two primes.
- 2
3327 is composite. Its prime factorisation is
- 3
The divisors add up to 4440; without 3327 itself that is 1113, so 3327 is deficient (1113 is less than 3327). Euler's totient φ(3327) = 2216 numbers up to 3327 share no factor with it.
- 4
The digits of 3327 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 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3327 = 3 \times 1109 \]
3327 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4440 |
| Euler totient φ(n) | 2216 |
| Square | 11068929 |
| Cube | 36826326783 |
| Square root | 57.680153 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.327 × |
3327 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and twenty-seven |
| Roman numerals | MMMCCCXXVII |
| Binary (base 2) | 110011111111 |
| Octal (base 8) | 6377 |
| Hexadecimal (base 16) | CFF |
| Base 3 | 11120020 |
| As time | 3327 seconds = 55 min 27 s |
Is 3327 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 (3327 ÷ 3 = 1109) | 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 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 | No (remainder 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 3327 a prime number?
No. 3327 = 3 × 1109, so it is divisible by 3.
What are the factors of 3327?
1, 3, 1109, 3327.
What is 3327 in binary?
110011111111 (hexadecimal CFF, octal 6377).
What is the square root of 3327?
About 57.6802.
What is 3327 in Roman numerals?
MMMCCCXXVII.
Is 3327 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3327?
3327 is a semiprime: 3 × 1109, the product of two primes.