The number 27361
27361 is the 2992nd prime number. Its only divisors are 1 and 27361.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27361: the 2992nd prime number.
- 2
27361 is prime, so its only factors are 1 and 27361. It is the 2992nd prime; the next prime is 27367 and the one before is 27337.
- 3
The divisors add up to 27362; without 27361 itself that is 1, so 27361 is deficient (1 is less than 27361). Euler's totient φ(27361) = 27360 numbers up to 27361 share no factor with it.
- 4
The digits of 27361 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 183 steps to reach 1.
27361 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27362 |
| Euler totient φ(n) | 27360 |
| Square | 748624321 |
| Cube | 20483110046881 |
| Square root | 165.411608 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7361 × |
27361 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and sixty-one |
| Binary (base 2) | 110101011100001 |
| Octal (base 8) | 65341 |
| Hexadecimal (base 16) | 6AE1 |
| Base 3 | 1101112101 |
| As time | 27361 seconds = 7 h 36 min 1 s |
Is 27361 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 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 27361 a prime number?
Yes. 27361 is divisible only by 1 and itself.
What are the factors of 27361?
1, 27361.
What is 27361 in binary?
110101011100001 (hexadecimal 6AE1, octal 65341).
What is the square root of 27361?
About 165.4116.
Is 27361 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27361?
27361 is the 2992nd prime number.