The number 13710
13710 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 457. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 457, 914, 1371, 2285, 2742, 4570, 6855, 13710.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13710 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13710 is composite. Its prime factorisation is
- 3
The divisors add up to 32976; without 13710 itself that is 19266, so 13710 is abundant (19266 is more than 13710). Euler's totient φ(13710) = 3648 numbers up to 13710 share no factor with it.
- 4
The digits of 13710 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13710 = 2 \times 3 \times 5 \times 457 \]
13710 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32976 |
| Euler totient φ(n) | 3648 |
| Square | 187964100 |
| Cube | 2576987811000 |
| Square root | 117.089709 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.371 × |
13710 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and ten |
| Binary (base 2) | 11010110001110 |
| Octal (base 8) | 32616 |
| Hexadecimal (base 16) | 358E |
| Base 3 | 200210210 |
| As time | 13710 seconds = 3 h 48 min 30 s |
Is 13710 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13710 ÷ 2 = 6855) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13710 ÷ 3 = 4570) | 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 | Yes (13710 ÷ 5 = 2742) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13710 ÷ 6 = 2285) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13710 ÷ 10 = 1371) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13710 a prime number?
No. 13710 = 2 × 3 × 5 × 457, so it is divisible by 2.
What are the factors of 13710?
1, 2, 3, 5, 6, 10, 15, 30, 457, 914, 1371, 2285, 2742, 4570, 6855, 13710.
What is 13710 in binary?
11010110001110 (hexadecimal 358E, octal 32616).
What is the square root of 13710?
About 117.0897.
Is 13710 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13710?
It is a composite number with 16 divisors.