The number 13834
13834 is a composite number with 4 divisors. Its prime factorisation is 2 × 6917. Divisors (4): 1, 2, 6917, 13834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13834: a semiprime: 2 × 6917, the product of two primes.
- 2
13834 is composite. Its prime factorisation is
- 3
The divisors add up to 20754; without 13834 itself that is 6920, so 13834 is deficient (6920 is less than 13834). Euler's totient φ(13834) = 6916 numbers up to 13834 share no factor with it.
- 4
The digits of 13834 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13834 = 2 \times 6917 \]
13834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20754 |
| Euler totient φ(n) | 6916 |
| Square | 191379556 |
| Cube | 2647544777704 |
| Square root | 117.618026 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3834 × |
13834 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and thirty-four |
| Binary (base 2) | 11011000001010 |
| Octal (base 8) | 33012 |
| Hexadecimal (base 16) | 360A |
| Base 3 | 200222101 |
| As time | 13834 seconds = 3 h 50 min 34 s |
Is 13834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13834 ÷ 2 = 6917) | 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 2) | 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 4) | 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 2) | 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 4) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13834 a prime number?
No. 13834 = 2 × 6917, so it is divisible by 2.
What are the factors of 13834?
1, 2, 6917, 13834.
What is 13834 in binary?
11011000001010 (hexadecimal 360A, octal 33012).
What is the square root of 13834?
About 117.6180.
Is 13834 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13834?
13834 is a semiprime: 2 × 6917, the product of two primes.