The number 3366
3366 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 17. Divisors (24): 1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153 … 3366.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3366: a Harshad number: divisible by its digit sum 18.
- 2
3366 is composite. Its prime factorisation is
- 3
The divisors add up to 8424; without 3366 itself that is 5058, so 3366 is abundant (5058 is more than 3366). Euler's totient φ(3366) = 960 numbers up to 3366 share no factor with it.
- 4
The digits of 3366 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3366 = 2 \times 3^{2} \times 11 \times 17 \]3366 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 8424 |
| Euler totient φ(n) | 960 |
| Square | 11329956 |
| Cube | 38136631896 |
| Square root | 58.017239 (= 3√374) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.366 × |
3366 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and sixty-six |
| Roman numerals | MMMCCCLXVI |
| Binary (base 2) | 110100100110 |
| Octal (base 8) | 6446 |
| Hexadecimal (base 16) | D26 |
| Base 3 | 11121200 |
| As time | 3366 seconds = 56 min 6 s |
Is 3366 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3366 ÷ 2 = 1683) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3366 ÷ 3 = 1122) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3366 ÷ 6 = 561) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3366 ÷ 9 = 374) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3366 ÷ 11 = 306) | 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 3366 a prime number?
No. 3366 = 2 × × 11 × 17, so it is divisible by 2.
What are the factors of 3366?
1, 2, 3, 6, 9, 11, 17, 18, 22, 33, 34, 51, 66, 99, 102, 153, 187, 198, 306, 374, 561, 1122, 1683, 3366.
What is 3366 in binary?
110100100110 (hexadecimal D26, octal 6446).
What is the square root of 3366?
About 58.0172, exactly 3√374.
What is 3366 in Roman numerals?
MMMCCCLXVI.
Is 3366 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3366?
3366 is a Harshad number: divisible by its digit sum 18.