The number 3330
3330 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 37. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185 … 3330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3330: a Harshad number: divisible by its digit sum 9.
- 2
3330 is composite. Its prime factorisation is
- 3
The divisors add up to 8892; without 3330 itself that is 5562, so 3330 is abundant (5562 is more than 3330). Euler's totient φ(3330) = 864 numbers up to 3330 share no factor with it.
- 4
The digits of 3330 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3330 = 2 \times 3^{2} \times 5 \times 37 \]3330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8892 |
| Euler totient φ(n) | 864 |
| Square | 11088900 |
| Cube | 36926037000 |
| Square root | 57.706152 (= 3√370) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 180 |
| Scientific notation | 3.33 × |
3330 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirty |
| Roman numerals | MMMCCCXXX |
| Binary (base 2) | 110100000010 |
| Octal (base 8) | 6402 |
| Hexadecimal (base 16) | D02 |
| Base 3 | 11120100 |
| As time | 3330 seconds = 55 min 30 s |
Is 3330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3330 ÷ 2 = 1665) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3330 ÷ 3 = 1110) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3330 ÷ 5 = 666) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3330 ÷ 6 = 555) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3330 ÷ 9 = 370) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3330 ÷ 10 = 333) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3330 a prime number?
No. 3330 = 2 × × 5 × 37, so it is divisible by 2.
What are the factors of 3330?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330.
What is 3330 in binary?
110100000010 (hexadecimal D02, octal 6402).
What is the square root of 3330?
About 57.7062, exactly 3√370.
What is 3330 in Roman numerals?
MMMCCCXXX.
Is 3330 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3330?
3330 is a Harshad number: divisible by its digit sum 9.