The number 12018
12018 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2003. Divisors (8): 1, 2, 3, 6, 2003, 4006, 6009, 12018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12018: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12018 is composite. Its prime factorisation is
- 3
The divisors add up to 24048; without 12018 itself that is 12030, so 12018 is abundant (12030 is more than 12018). Euler's totient φ(12018) = 4004 numbers up to 12018 share no factor with it.
- 4
The digits of 12018 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12018 = 2 \times 3 \times 2003 \]
12018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24048 |
| Euler totient φ(n) | 4004 |
| Square | 144432324 |
| Cube | 1735787669832 |
| Square root | 109.626639 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.2018 × |
12018 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and eighteen |
| Binary (base 2) | 10111011110010 |
| Octal (base 8) | 27362 |
| Hexadecimal (base 16) | 2EF2 |
| Base 3 | 121111010 |
| As time | 12018 seconds = 3 h 20 min 18 s |
Is 12018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12018 ÷ 2 = 6009) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12018 ÷ 3 = 4006) | 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 | Yes (12018 ÷ 6 = 2003) | 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 3) | 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 6) | 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 12018 a prime number?
No. 12018 = 2 × 3 × 2003, so it is divisible by 2.
What are the factors of 12018?
1, 2, 3, 6, 2003, 4006, 6009, 12018.
What is 12018 in binary?
10111011110010 (hexadecimal 2EF2, octal 27362).
What is the square root of 12018?
About 109.6266.
Is 12018 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12018?
12018 is a happy number: repeatedly adding the squares of its digits reaches 1.