The number 13712
13712 is a composite number with 10 divisors. Its prime factorisation is × 857. Divisors (10): 1, 2, 4, 8, 16, 857, 1714, 3428, 6856, 13712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13712 is composite. Its prime factorisation is
- 3
The divisors add up to 26598; without 13712 itself that is 12886, so 13712 is deficient (12886 is less than 13712). Euler's totient φ(13712) = 6848 numbers up to 13712 share no factor with it.
- 4
The digits of 13712 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13712 = 2^{4} \times 857 \]13712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 26598 |
| Euler totient φ(n) | 6848 |
| Square | 188018944 |
| Cube | 2578115760128 |
| Square root | 117.098249 (= 4√857) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3712 × |
13712 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and twelve |
| Binary (base 2) | 11010110010000 |
| Octal (base 8) | 32620 |
| Hexadecimal (base 16) | 3590 |
| Base 3 | 200210212 |
| As time | 13712 seconds = 3 h 48 min 32 s |
Is 13712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13712 ÷ 2 = 6856) | 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 | Yes (13712 ÷ 4 = 3428) | 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 6) | 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 | Yes (13712 ÷ 8 = 1714) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13712 a prime number?
No. 13712 = × 857, so it is divisible by 2.
What are the factors of 13712?
1, 2, 4, 8, 16, 857, 1714, 3428, 6856, 13712.
What is 13712 in binary?
11010110010000 (hexadecimal 3590, octal 32620).
What is the square root of 13712?
About 117.0982, exactly 4√857.
Is 13712 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13712?
It is a composite number with 10 divisors.