The number 27006
27006 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 643. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 643, 1286, 1929, 3858, 4501, 9002, 13503, 27006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27006 is composite. Its prime factorisation is
- 3
The divisors add up to 61824; without 27006 itself that is 34818, so 27006 is abundant (34818 is more than 27006). Euler's totient φ(27006) = 7704 numbers up to 27006 share no factor with it.
- 4
The digits of 27006 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27006 = 2 \times 3 \times 7 \times 643 \]
27006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61824 |
| Euler totient φ(n) | 7704 |
| Square | 729324036 |
| Cube | 19696124916216 |
| Square root | 164.335024 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.7006 × |
27006 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and six |
| Binary (base 2) | 110100101111110 |
| Octal (base 8) | 64576 |
| Hexadecimal (base 16) | 697E |
| Base 3 | 1101001020 |
| As time | 27006 seconds = 7 h 30 min 6 s |
Is 27006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27006 ÷ 2 = 13503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27006 ÷ 3 = 9002) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27006 ÷ 6 = 4501) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27006 ÷ 7 = 3858) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 27006 a prime number?
No. 27006 = 2 × 3 × 7 × 643, so it is divisible by 2.
What are the factors of 27006?
1, 2, 3, 6, 7, 14, 21, 42, 643, 1286, 1929, 3858, 4501, 9002, 13503, 27006.
What is 27006 in binary?
110100101111110 (hexadecimal 697E, octal 64576).
What is the square root of 27006?
About 164.3350.
Is 27006 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27006?
It is a composite number with 16 divisors.