The number 27397
27397 is the 2994th prime number. Its only divisors are 1 and 27397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27397: the 2994th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27397 is prime, so its only factors are 1 and 27397. It is the 2994th prime; the next prime is 27407 and the one before is 27367.
- 3
The divisors add up to 27398; without 27397 itself that is 1, so 27397 is deficient (1 is less than 27397). Euler's totient φ(27397) = 27396 numbers up to 27397 share no factor with it.
- 4
The digits of 27397 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
27397 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27398 |
| Euler totient φ(n) | 27396 |
| Square | 750595609 |
| Cube | 20564067899773 |
| Square root | 165.520391 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7397 × |
27397 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and ninety-seven |
| Binary (base 2) | 110101100000101 |
| Octal (base 8) | 65405 |
| Hexadecimal (base 16) | 6B05 |
| Base 3 | 1101120201 |
| As time | 27397 seconds = 7 h 36 min 37 s |
Is 27397 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 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 1) | 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 7) | 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 27397 a prime number?
Yes. 27397 is divisible only by 1 and itself.
What are the factors of 27397?
1, 27397.
What is 27397 in binary?
110101100000101 (hexadecimal 6B05, octal 65405).
What is the square root of 27397?
About 165.5204.
Is 27397 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27397?
27397 is the 2994th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.