The number 4018
4018 is a composite number with 12 divisors. Its prime factorisation is 2 × × 41. Divisors (12): 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4018 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4018 is composite. Its prime factorisation is
- 3
The divisors add up to 7182; without 4018 itself that is 3164, so 4018 is deficient (3164 is less than 4018). Euler's totient φ(4018) = 1680 numbers up to 4018 share no factor with it.
- 4
The digits of 4018 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4018 = 2 \times 7^{2} \times 41 \]4018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7182 |
| Euler totient φ(n) | 1680 |
| Square | 16144324 |
| Cube | 64867893832 |
| Square root | 63.387696 (= 7√82) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 25 |
| Scientific notation | 4.018 × |
4018 in other forms
| Form | Value |
|---|---|
| In words | four thousand and eighteen |
| Binary (base 2) | 111110110010 |
| Octal (base 8) | 7662 |
| Hexadecimal (base 16) | FB2 |
| Base 3 | 12111211 |
| As time | 4018 seconds = 1 h 6 min 58 s |
Is 4018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4018 ÷ 2 = 2009) | 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 3) | 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 | Yes (4018 ÷ 7 = 574) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 4018 a prime number?
No. 4018 = 2 × × 41, so it is divisible by 2.
What are the factors of 4018?
1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018.
What is 4018 in binary?
111110110010 (hexadecimal FB2, octal 7662).
What is the square root of 4018?
About 63.3877, exactly 7√82.
Is 4018 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4018?
It is a composite number with 12 divisors.