The number 13682
13682 is a composite number with 4 divisors. Its prime factorisation is 2 × 6841. Divisors (4): 1, 2, 6841, 13682.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13682: a semiprime: 2 × 6841, the product of two primes.
- 2
13682 is composite. Its prime factorisation is
- 3
The divisors add up to 20526; without 13682 itself that is 6844, so 13682 is deficient (6844 is less than 13682). Euler's totient φ(13682) = 6840 numbers up to 13682 share no factor with it.
- 4
The digits of 13682 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13682 = 2 \times 6841 \]
13682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20526 |
| Euler totient φ(n) | 6840 |
| Square | 187197124 |
| Cube | 2561231050568 |
| Square root | 116.970082 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3682 × |
13682 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and eighty-two |
| Binary (base 2) | 11010101110010 |
| Octal (base 8) | 32562 |
| Hexadecimal (base 16) | 3572 |
| Base 3 | 200202202 |
| As time | 13682 seconds = 3 h 48 min 2 s |
Is 13682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13682 ÷ 2 = 6841) | 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 2) | 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13682 a prime number?
No. 13682 = 2 × 6841, so it is divisible by 2.
What are the factors of 13682?
1, 2, 6841, 13682.
What is 13682 in binary?
11010101110010 (hexadecimal 3572, octal 32562).
What is the square root of 13682?
About 116.9701.
Is 13682 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13682?
13682 is a semiprime: 2 × 6841, the product of two primes.