The number 27001
27001 is a composite number with 8 divisors. Its prime factorisation is 13 × 31 × 67. Divisors (8): 1, 13, 31, 67, 403, 871, 2077, 27001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27001 is composite. Its prime factorisation is
- 3
The divisors add up to 30464; without 27001 itself that is 3463, so 27001 is deficient (3463 is less than 27001). Euler's totient φ(27001) = 23760 numbers up to 27001 share no factor with it.
- 4
The digits of 27001 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 214 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27001 = 13 \times 31 \times 67 \]
27001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30464 |
| Euler totient φ(n) | 23760 |
| Square | 729054001 |
| Cube | 19685187081001 |
| Square root | 164.319810 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 214 |
| Scientific notation | 2.7001 × |
27001 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and one |
| Binary (base 2) | 110100101111001 |
| Octal (base 8) | 64571 |
| Hexadecimal (base 16) | 6979 |
| Base 3 | 1101001001 |
| As time | 27001 seconds = 7 h 30 min 1 s |
Is 27001 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 1) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27001 a prime number?
No. 27001 = 13 × 31 × 67, so it is divisible by 13.
What are the factors of 27001?
1, 13, 31, 67, 403, 871, 2077, 27001.
What is 27001 in binary?
110100101111001 (hexadecimal 6979, octal 64571).
What is the square root of 27001?
About 164.3198.
Is 27001 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 27001?
It is a composite number with 8 divisors.