The number 8018
8018 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 211. Divisors (8): 1, 2, 19, 38, 211, 422, 4009, 8018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8018: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8018 is composite. Its prime factorisation is
- 3
The divisors add up to 12720; without 8018 itself that is 4702, so 8018 is deficient (4702 is less than 8018). Euler's totient φ(8018) = 3780 numbers up to 8018 share no factor with it.
- 4
The digits of 8018 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8018 = 2 \times 19 \times 211 \]
8018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12720 |
| Euler totient φ(n) | 3780 |
| Square | 64288324 |
| Cube | 515463781832 |
| Square root | 89.543286 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.018 × |
8018 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and eighteen |
| Binary (base 2) | 1111101010010 |
| Octal (base 8) | 17522 |
| Hexadecimal (base 16) | 1F52 |
| Base 3 | 101222222 |
| As time | 8018 seconds = 2 h 13 min 38 s |
Is 8018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8018 ÷ 2 = 4009) | 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 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8018 a prime number?
No. 8018 = 2 × 19 × 211, so it is divisible by 2.
What are the factors of 8018?
1, 2, 19, 38, 211, 422, 4009, 8018.
What is 8018 in binary?
1111101010010 (hexadecimal 1F52, octal 17522).
What is the square root of 8018?
About 89.5433.
Is 8018 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8018?
8018 is a happy number: repeatedly adding the squares of its digits reaches 1.