The number 27115
27115 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 17 × 29. Divisors (16): 1, 5, 11, 17, 29, 55, 85, 145, 187, 319, 493, 935, 1595, 2465, 5423, 27115.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27115 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27115 is composite. Its prime factorisation is
- 3
The divisors add up to 38880; without 27115 itself that is 11765, so 27115 is deficient (11765 is less than 27115). Euler's totient φ(27115) = 17920 numbers up to 27115 share no factor with it.
- 4
The digits of 27115 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27115 = 5 \times 11 \times 17 \times 29 \]
27115 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38880 |
| Euler totient φ(n) | 17920 |
| Square | 735223225 |
| Cube | 19935577745875 |
| Square root | 164.666329 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7115 × |
27115 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and fifteen |
| Binary (base 2) | 110100111101011 |
| Octal (base 8) | 64753 |
| Hexadecimal (base 16) | 69EB |
| Base 3 | 1101012021 |
| As time | 27115 seconds = 7 h 31 min 55 s |
Is 27115 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27115 ÷ 5 = 5423) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (27115 ÷ 11 = 2465) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27115 a prime number?
No. 27115 = 5 × 11 × 17 × 29, so it is divisible by 5.
What are the factors of 27115?
1, 5, 11, 17, 29, 55, 85, 145, 187, 319, 493, 935, 1595, 2465, 5423, 27115.
What is 27115 in binary?
110100111101011 (hexadecimal 69EB, octal 64753).
What is the square root of 27115?
About 164.6663.
Is 27115 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27115?
It is a composite number with 16 divisors.