The number 13694
13694 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 167. Divisors (8): 1, 2, 41, 82, 167, 334, 6847, 13694.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13694 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13694 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 13694 itself that is 7474, so 13694 is deficient (7474 is less than 13694). Euler's totient φ(13694) = 6640 numbers up to 13694 share no factor with it.
- 4
The digits of 13694 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13694 = 2 \times 41 \times 167 \]
13694 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 6640 |
| Square | 187525636 |
| Cube | 2567976059384 |
| Square root | 117.021366 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.3694 × |
13694 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and ninety-four |
| Binary (base 2) | 11010101111110 |
| Octal (base 8) | 32576 |
| Hexadecimal (base 16) | 357E |
| Base 3 | 200210012 |
| As time | 13694 seconds = 3 h 48 min 14 s |
Is 13694 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13694 ÷ 2 = 6847) | 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 4) | 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 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 6) | 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 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13694 a prime number?
No. 13694 = 2 × 41 × 167, so it is divisible by 2.
What are the factors of 13694?
1, 2, 41, 82, 167, 334, 6847, 13694.
What is 13694 in binary?
11010101111110 (hexadecimal 357E, octal 32576).
What is the square root of 13694?
About 117.0214.
Is 13694 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13694?
It is a composite number with 8 divisors.