The number 13706
13706 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 89. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 89, 154, 178, 623, 979, 1246, 1958, 6853, 13706.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13706 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13706 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 13706 itself that is 12214, so 13706 is deficient (12214 is less than 13706). Euler's totient φ(13706) = 5280 numbers up to 13706 share no factor with it.
- 4
The digits of 13706 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13706 = 2 \times 7 \times 11 \times 89 \]
13706 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 5280 |
| Square | 187854436 |
| Cube | 2574732899816 |
| Square root | 117.072627 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3706 × |
13706 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and six |
| Binary (base 2) | 11010110001010 |
| Octal (base 8) | 32612 |
| Hexadecimal (base 16) | 358A |
| Base 3 | 200210122 |
| As time | 13706 seconds = 3 h 48 min 26 s |
Is 13706 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13706 ÷ 2 = 6853) | 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 1) | 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 | Yes (13706 ÷ 7 = 1958) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13706 ÷ 11 = 1246) | 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 13706 a prime number?
No. 13706 = 2 × 7 × 11 × 89, so it is divisible by 2.
What are the factors of 13706?
1, 2, 7, 11, 14, 22, 77, 89, 154, 178, 623, 979, 1246, 1958, 6853, 13706.
What is 13706 in binary?
11010110001010 (hexadecimal 358A, octal 32612).
What is the square root of 13706?
About 117.0726.
Is 13706 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13706?
It is a composite number with 16 divisors.