The number 27061
27061 is a twin prime (27059 and 27061 are both prime) and the 2967th prime number. Its only divisors are 1 and 27061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27061: a twin prime (27059 and 27061 are both prime); the 2967th prime number.
- 2
27061 is prime, so its only factors are 1 and 27061. It is the 2967th prime; the next prime is 27067 and the one before is 27059.
- 3
The divisors add up to 27062; without 27061 itself that is 1, so 27061 is deficient (1 is less than 27061). Euler's totient φ(27061) = 27060 numbers up to 27061 share no factor with it.
- 4
The digits of 27061 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 139 steps to reach 1.
27061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27062 |
| Euler totient φ(n) | 27060 |
| Square | 732297721 |
| Cube | 19816708627981 |
| Square root | 164.502280 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7061 × |
27061 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and sixty-one |
| Binary (base 2) | 110100110110101 |
| Octal (base 8) | 64665 |
| Hexadecimal (base 16) | 69B5 |
| Base 3 | 1101010021 |
| As time | 27061 seconds = 7 h 31 min 1 s |
Is 27061 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 1) | 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 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 27061 a prime number?
Yes. 27061 is divisible only by 1 and itself.
What are the factors of 27061?
1, 27061.
What is 27061 in binary?
110100110110101 (hexadecimal 69B5, octal 64665).
What is the square root of 27061?
About 164.5023.
Is 27061 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27061?
27061 is a twin prime (27059 and 27061 are both prime); the 2967th prime number.