The number 4066
4066 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 107. Divisors (8): 1, 2, 19, 38, 107, 214, 2033, 4066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4066 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4066 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 4066 itself that is 2414, so 4066 is deficient (2414 is less than 4066). Euler's totient φ(4066) = 1908 numbers up to 4066 share no factor with it.
- 4
The digits of 4066 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4066 = 2 \times 19 \times 107 \]
4066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 1908 |
| Square | 16532356 |
| Cube | 67220559496 |
| Square root | 63.765194 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 113 |
| Scientific notation | 4.066 × |
4066 in other forms
| Form | Value |
|---|---|
| In words | four thousand and sixty-six |
| Binary (base 2) | 111111100010 |
| Octal (base 8) | 7742 |
| Hexadecimal (base 16) | FE2 |
| Base 3 | 12120121 |
| As time | 4066 seconds = 1 h 7 min 46 s |
Is 4066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4066 ÷ 2 = 2033) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4066 a prime number?
No. 4066 = 2 × 19 × 107, so it is divisible by 2.
What are the factors of 4066?
1, 2, 19, 38, 107, 214, 2033, 4066.
What is 4066 in binary?
111111100010 (hexadecimal FE2, octal 7742).
What is the square root of 4066?
About 63.7652.
Is 4066 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4066?
It is a composite number with 8 divisors.