The number 27005
27005 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 491. Divisors (8): 1, 5, 11, 55, 491, 2455, 5401, 27005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27005 is composite. Its prime factorisation is
- 3
The divisors add up to 35424; without 27005 itself that is 8419, so 27005 is deficient (8419 is less than 27005). Euler's totient φ(27005) = 19600 numbers up to 27005 share no factor with it.
- 4
The digits of 27005 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27005 = 5 \times 11 \times 491 \]
27005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 35424 |
| Euler totient φ(n) | 19600 |
| Square | 729270025 |
| Cube | 19693937025125 |
| Square root | 164.331981 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7005 × |
27005 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and five |
| Binary (base 2) | 110100101111101 |
| Octal (base 8) | 64575 |
| Hexadecimal (base 16) | 697D |
| Base 3 | 1101001012 |
| As time | 27005 seconds = 7 h 30 min 5 s |
Is 27005 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27005 ÷ 5 = 5401) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27005 ÷ 11 = 2455) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27005 a prime number?
No. 27005 = 5 × 11 × 491, so it is divisible by 5.
What are the factors of 27005?
1, 5, 11, 55, 491, 2455, 5401, 27005.
What is 27005 in binary?
110100101111101 (hexadecimal 697D, octal 64575).
What is the square root of 27005?
About 164.3320.
Is 27005 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27005?
It is a composite number with 8 divisors.