The number 27012
27012 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2251. Divisors (12): 1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506, 27012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27012: a Harshad number: divisible by its digit sum 12.
- 2
27012 is composite. Its prime factorisation is
- 3
The divisors add up to 63056; without 27012 itself that is 36044, so 27012 is abundant (36044 is more than 27012). Euler's totient φ(27012) = 9000 numbers up to 27012 share no factor with it.
- 4
The digits of 27012 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27012 = 2^{2} \times 3 \times 2251 \]27012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63056 |
| Euler totient φ(n) | 9000 |
| Square | 729648144 |
| Cube | 19709255665728 |
| Square root | 164.353278 (= 2√6753) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7012 × |
27012 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and twelve |
| Binary (base 2) | 110100110000100 |
| Octal (base 8) | 64604 |
| Hexadecimal (base 16) | 6984 |
| Base 3 | 1101001110 |
| As time | 27012 seconds = 7 h 30 min 12 s |
Is 27012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27012 ÷ 2 = 13506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27012 ÷ 3 = 9004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27012 ÷ 4 = 6753) | 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 | Yes (27012 ÷ 6 = 4502) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27012 ÷ 12 = 2251) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27012 a prime number?
No. 27012 = × 3 × 2251, so it is divisible by 2.
What are the factors of 27012?
1, 2, 3, 4, 6, 12, 2251, 4502, 6753, 9004, 13506, 27012.
What is 27012 in binary?
110100110000100 (hexadecimal 6984, octal 64604).
What is the square root of 27012?
About 164.3533, exactly 2√6753.
Is 27012 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 27012?
27012 is a Harshad number: divisible by its digit sum 12.