The number 27013
27013 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 227. Divisors (8): 1, 7, 17, 119, 227, 1589, 3859, 27013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27013 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 27013 itself that is 5819, so 27013 is deficient (5819 is less than 27013). Euler's totient φ(27013) = 21696 numbers up to 27013 share no factor with it.
- 4
The digits of 27013 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27013 = 7 \times 17 \times 227 \]
27013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 21696 |
| Square | 729702169 |
| Cube | 19711444691197 |
| Square root | 164.356320 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7013 × |
27013 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and thirteen |
| Binary (base 2) | 110100110000101 |
| Octal (base 8) | 64605 |
| Hexadecimal (base 16) | 6985 |
| Base 3 | 1101001111 |
| As time | 27013 seconds = 7 h 30 min 13 s |
Is 27013 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 3) | 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 | Yes (27013 ÷ 7 = 3859) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 27013 a prime number?
No. 27013 = 7 × 17 × 227, so it is divisible by 7.
What are the factors of 27013?
1, 7, 17, 119, 227, 1589, 3859, 27013.
What is 27013 in binary?
110100110000101 (hexadecimal 6985, octal 64605).
What is the square root of 27013?
About 164.3563.
Is 27013 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27013?
It is a composite number with 8 divisors.