The number 27337
27337 is the 2991st prime number. Its only divisors are 1 and 27337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27337: the 2991st prime number.
- 2
27337 is prime, so its only factors are 1 and 27337. It is the 2991st prime; the next prime is 27361 and the one before is 27329.
- 3
The divisors add up to 27338; without 27337 itself that is 1, so 27337 is deficient (1 is less than 27337). Euler's totient φ(27337) = 27336 numbers up to 27337 share no factor with it.
- 4
The digits of 27337 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
27337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27338 |
| Euler totient φ(n) | 27336 |
| Square | 747311569 |
| Cube | 20429256361753 |
| Square root | 165.339046 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7337 × |
27337 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and thirty-seven |
| Binary (base 2) | 110101011001001 |
| Octal (base 8) | 65311 |
| Hexadecimal (base 16) | 6AC9 |
| Base 3 | 1101111111 |
| As time | 27337 seconds = 7 h 35 min 37 s |
Is 27337 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 2) | 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 2) | 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 4) | 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 2) | 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 27337 a prime number?
Yes. 27337 is divisible only by 1 and itself.
What are the factors of 27337?
1, 27337.
What is 27337 in binary?
110101011001001 (hexadecimal 6AC9, octal 65311).
What is the square root of 27337?
About 165.3390.
Is 27337 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27337?
27337 is the 2991st prime number.