The number 13697
13697 is the 1620th prime number. Its only divisors are 1 and 13697.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13697: the 1620th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13697 is prime, so its only factors are 1 and 13697. It is the 1620th prime; the next prime is 13709 and the one before is 13693.
- 3
The divisors add up to 13698; without 13697 itself that is 1, so 13697 is deficient (1 is less than 13697). Euler's totient φ(13697) = 13696 numbers up to 13697 share no factor with it.
- 4
The digits of 13697 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
13697 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13698 |
| Euler totient φ(n) | 13696 |
| Square | 187607809 |
| Cube | 2569664159873 |
| Square root | 117.034183 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3697 × |
13697 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and ninety-seven |
| Binary (base 2) | 11010110000001 |
| Octal (base 8) | 32601 |
| Hexadecimal (base 16) | 3581 |
| Base 3 | 200210022 |
| As time | 13697 seconds = 3 h 48 min 17 s |
Is 13697 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 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13697 a prime number?
Yes. 13697 is divisible only by 1 and itself.
What are the factors of 13697?
1, 13697.
What is 13697 in binary?
11010110000001 (hexadecimal 3581, octal 32601).
What is the square root of 13697?
About 117.0342.
Is 13697 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13697?
13697 is the 1620th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.