The number 4067
4067 is a composite number with 6 divisors. Its prime factorisation is Ć 83. Divisors (6): 1, 7, 49, 83, 581, 4067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4067 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4067 is composite. Its prime factorisation is
- 3
The divisors add up to 4788; without 4067 itself that is 721, so 4067 is deficient (721 is less than 4067). Euler's totient Ļ(4067) = 3444 numbers up to 4067 share no factor with it.
- 4
The digits of 4067 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4067 = 7^{2} \times 83 \]4067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4788 |
| Euler totient Ļ(n) | 3444 |
| Square | 16540489 |
| Cube | 67270168763 |
| Square root | 63.773035 (= 7ā83) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 113 |
| Scientific notation | 4.067 Ć |
4067 in other forms
| Form | Value |
|---|---|
| In words | four thousand and sixty-seven |
| Binary (base 2) | 111111100011 |
| Octal (base 8) | 7743 |
| Hexadecimal (base 16) | FE3 |
| Base 3 | 12120122 |
| As time | 4067 seconds = 1 h 7 min 47 s |
Is 4067 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4067 Ć· 7 = 581) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4067 a prime number?
No. 4067 = Ć 83, so it is divisible by 7.
What are the factors of 4067?
1, 7, 49, 83, 581, 4067.
What is 4067 in binary?
111111100011 (hexadecimal FE3, octal 7743).
What is the square root of 4067?
About 63.7730, exactly 7ā83.
Is 4067 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4067?
It is a composite number with 6 divisors.