The number 13717
13717 is a composite number with 8 divisors. Its prime factorisation is 11 × 29 × 43. Divisors (8): 1, 11, 29, 43, 319, 473, 1247, 13717.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13717: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13717 is composite. Its prime factorisation is
- 3
The divisors add up to 15840; without 13717 itself that is 2123, so 13717 is deficient (2123 is less than 13717). Euler's totient φ(13717) = 11760 numbers up to 13717 share no factor with it.
- 4
The digits of 13717 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13717 = 11 \times 29 \times 43 \]
13717 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15840 |
| Euler totient φ(n) | 11760 |
| Square | 188156089 |
| Cube | 2580937072813 |
| Square root | 117.119597 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3717 × |
13717 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and seventeen |
| Binary (base 2) | 11010110010101 |
| Octal (base 8) | 32625 |
| Hexadecimal (base 16) | 3595 |
| Base 3 | 200211001 |
| As time | 13717 seconds = 3 h 48 min 37 s |
Is 13717 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 1) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13717 ÷ 11 = 1247) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13717 a prime number?
No. 13717 = 11 × 29 × 43, so it is divisible by 11.
What are the factors of 13717?
1, 11, 29, 43, 319, 473, 1247, 13717.
What is 13717 in binary?
11010110010101 (hexadecimal 3595, octal 32625).
What is the square root of 13717?
About 117.1196.
Is 13717 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13717?
13717 is a happy number: repeatedly adding the squares of its digits reaches 1.