The number 13829
13829 is a twin prime (13829 and 13831 are both prime) and the 1634th prime number. Its only divisors are 1 and 13829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13829: a twin prime (13829 and 13831 are both prime); the 1634th prime number.
- 2
13829 is prime, so its only factors are 1 and 13829. It is the 1634th prime; the next prime is 13831 and the one before is 13807.
- 3
The divisors add up to 13830; without 13829 itself that is 1, so 13829 is deficient (1 is less than 13829). Euler's totient φ(13829) = 13828 numbers up to 13829 share no factor with it.
- 4
The digits of 13829 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.
13829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13830 |
| Euler totient φ(n) | 13828 |
| Square | 191241241 |
| Cube | 2644675121789 |
| Square root | 117.596769 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3829 × |
13829 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and twenty-nine |
| Binary (base 2) | 11011000000101 |
| Octal (base 8) | 33005 |
| Hexadecimal (base 16) | 3605 |
| Base 3 | 200222012 |
| As time | 13829 seconds = 3 h 50 min 29 s |
Is 13829 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 4) | 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 4) | 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 9) | 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 13829 a prime number?
Yes. 13829 is divisible only by 1 and itself.
What are the factors of 13829?
1, 13829.
What is 13829 in binary?
11011000000101 (hexadecimal 3605, octal 33005).
What is the square root of 13829?
About 117.5968.
Is 13829 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13829?
13829 is a twin prime (13829 and 13831 are both prime); the 1634th prime number.