The number 12027
12027 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 211. Divisors (8): 1, 3, 19, 57, 211, 633, 4009, 12027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12027 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12027 is composite. Its prime factorisation is
- 3
The divisors add up to 16960; without 12027 itself that is 4933, so 12027 is deficient (4933 is less than 12027). Euler's totient φ(12027) = 7560 numbers up to 12027 share no factor with it.
- 4
The digits of 12027 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12027 = 3 \times 19 \times 211 \]
12027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16960 |
| Euler totient φ(n) | 7560 |
| Square | 144648729 |
| Cube | 1739690263683 |
| Square root | 109.667680 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.2027 × |
12027 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and twenty-seven |
| Binary (base 2) | 10111011111011 |
| Octal (base 8) | 27373 |
| Hexadecimal (base 16) | 2EFB |
| Base 3 | 121111110 |
| As time | 12027 seconds = 3 h 20 min 27 s |
Is 12027 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 | Yes (12027 ÷ 3 = 4009) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12027 a prime number?
No. 12027 = 3 × 19 × 211, so it is divisible by 3.
What are the factors of 12027?
1, 3, 19, 57, 211, 633, 4009, 12027.
What is 12027 in binary?
10111011111011 (hexadecimal 2EFB, octal 27373).
What is the square root of 12027?
About 109.6677.
Is 12027 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12027?
It is a composite number with 8 divisors.