The number 13397
13397 is a twin prime (13397 and 13399 are both prime) and the 1588th prime number. Its only divisors are 1 and 13397.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13397: a twin prime (13397 and 13399 are both prime); the 1588th prime number.
- 2
13397 is prime, so its only factors are 1 and 13397. It is the 1588th prime; the next prime is 13399 and the one before is 13381.
- 3
The divisors add up to 13398; without 13397 itself that is 1, so 13397 is deficient (1 is less than 13397). Euler's totient φ(13397) = 13396 numbers up to 13397 share no factor with it.
- 4
The digits of 13397 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 45 steps to reach 1.
13397 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13398 |
| Euler totient φ(n) | 13396 |
| Square | 179479609 |
| Cube | 2404488321773 |
| Square root | 115.745410 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3397 × |
13397 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and ninety-seven |
| Binary (base 2) | 11010001010101 |
| Octal (base 8) | 32125 |
| Hexadecimal (base 16) | 3455 |
| Base 3 | 200101012 |
| As time | 13397 seconds = 3 h 43 min 17 s |
Is 13397 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 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 5) | 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13397 a prime number?
Yes. 13397 is divisible only by 1 and itself.
What are the factors of 13397?
1, 13397.
What is 13397 in binary?
11010001010101 (hexadecimal 3455, octal 32125).
What is the square root of 13397?
About 115.7454.
Is 13397 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13397?
13397 is a twin prime (13397 and 13399 are both prime); the 1588th prime number.