The number 27059
27059 is a twin prime (27059 and 27061 are both prime) and the 2966th prime number. Its only divisors are 1 and 27059.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27059: a twin prime (27059 and 27061 are both prime); the 2966th prime number.
- 2
27059 is prime, so its only factors are 1 and 27059. It is the 2966th prime; the next prime is 27061 and the one before is 27043.
- 3
The divisors add up to 27060; without 27059 itself that is 1, so 27059 is deficient (1 is less than 27059). Euler's totient φ(27059) = 27058 numbers up to 27059 share no factor with it.
- 4
The digits of 27059 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
27059 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27060 |
| Euler totient φ(n) | 27058 |
| Square | 732189481 |
| Cube | 19812315166379 |
| Square root | 164.496201 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.7059 × |
27059 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and fifty-nine |
| Binary (base 2) | 110100110110011 |
| Octal (base 8) | 64663 |
| Hexadecimal (base 16) | 69B3 |
| Base 3 | 1101010012 |
| As time | 27059 seconds = 7 h 30 min 59 s |
Is 27059 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 4) | 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 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 5) | 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 10) | 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 27059 a prime number?
Yes. 27059 is divisible only by 1 and itself.
What are the factors of 27059?
1, 27059.
What is 27059 in binary?
110100110110011 (hexadecimal 69B3, octal 64663).
What is the square root of 27059?
About 164.4962.
Is 27059 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27059?
27059 is a twin prime (27059 and 27061 are both prime); the 2966th prime number.