The number 27109
27109 is a twin prime (27107 and 27109 are both prime) and the 2974th prime number. Its only divisors are 1 and 27109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27109: a twin prime (27107 and 27109 are both prime); the 2974th prime number.
- 2
27109 is prime, so its only factors are 1 and 27109. It is the 2974th prime; the next prime is 27127 and the one before is 27107.
- 3
The divisors add up to 27110; without 27109 itself that is 1, so 27109 is deficient (1 is less than 27109). Euler's totient φ(27109) = 27108 numbers up to 27109 share no factor with it.
- 4
The digits of 27109 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
27109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27110 |
| Euler totient φ(n) | 27108 |
| Square | 734897881 |
| Cube | 19922346656029 |
| Square root | 164.648110 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7109 × |
27109 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and nine |
| Binary (base 2) | 110100111100101 |
| Octal (base 8) | 64745 |
| Hexadecimal (base 16) | 69E5 |
| Base 3 | 1101012001 |
| As time | 27109 seconds = 7 h 31 min 49 s |
Is 27109 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 4) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 27109 a prime number?
Yes. 27109 is divisible only by 1 and itself.
What are the factors of 27109?
1, 27109.
What is 27109 in binary?
110100111100101 (hexadecimal 69E5, octal 64745).
What is the square root of 27109?
About 164.6481.
Is 27109 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27109?
27109 is a twin prime (27107 and 27109 are both prime); the 2974th prime number.