The number 3066
3066 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 73. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3066 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3066 is composite. Its prime factorisation is
- 3
The divisors add up to 7104; without 3066 itself that is 4038, so 3066 is abundant (4038 is more than 3066). Euler's totient φ(3066) = 864 numbers up to 3066 share no factor with it.
- 4
The digits of 3066 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3066 = 2 \times 3 \times 7 \times 73 \]
3066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7104 |
| Euler totient φ(n) | 864 |
| Square | 9400356 |
| Cube | 28821491496 |
| Square root | 55.371473 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 3.066 × |
3066 in other forms
| Form | Value |
|---|---|
| In words | three thousand and sixty-six |
| Roman numerals | MMMLXVI |
| Binary (base 2) | 101111111010 |
| Octal (base 8) | 5772 |
| Hexadecimal (base 16) | BFA |
| Base 3 | 11012120 |
| As time | 3066 seconds = 51 min 6 s |
Is 3066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3066 ÷ 2 = 1533) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3066 ÷ 3 = 1022) | 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 (3066 ÷ 6 = 511) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3066 ÷ 7 = 438) | 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 | No (remainder 6) | 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 | 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 3066 a prime number?
No. 3066 = 2 × 3 × 7 × 73, so it is divisible by 2.
What are the factors of 3066?
1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066.
What is 3066 in binary?
101111111010 (hexadecimal BFA, octal 5772).
What is the square root of 3066?
About 55.3715.
What is 3066 in Roman numerals?
MMMLXVI.
Is 3066 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3066?
It is a composite number with 16 divisors.