The number 27107
27107 is a twin prime (27107 and 27109 are both prime) and the 2973rd prime number. Its only divisors are 1 and 27107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27107: a twin prime (27107 and 27109 are both prime); the 2973rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27107 is prime, so its only factors are 1 and 27107. It is the 2973rd prime; the next prime is 27109 and the one before is 27103.
- 3
The divisors add up to 27108; without 27107 itself that is 1, so 27107 is deficient (1 is less than 27107). Euler's totient φ(27107) = 27106 numbers up to 27107 share no factor with it.
- 4
The digits of 27107 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
27107 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27108 |
| Euler totient φ(n) | 27106 |
| Square | 734789449 |
| Cube | 19917937594043 |
| Square root | 164.642036 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7107 × |
27107 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and seven |
| Binary (base 2) | 110100111100011 |
| Octal (base 8) | 64743 |
| Hexadecimal (base 16) | 69E3 |
| Base 3 | 1101011222 |
| As time | 27107 seconds = 7 h 31 min 47 s |
Is 27107 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27107 a prime number?
Yes. 27107 is divisible only by 1 and itself.
What are the factors of 27107?
1, 27107.
What is 27107 in binary?
110100111100011 (hexadecimal 69E3, octal 64743).
What is the square root of 27107?
About 164.6420.
Is 27107 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27107?
27107 is a twin prime (27107 and 27109 are both prime); the 2973rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.