The number 13386
13386 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 97. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 97, 138, 194, 291, 582, 2231, 4462, 6693, 13386.
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How to work it out
- 1
13386 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13386 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 13386 itself that is 14838, so 13386 is abundant (14838 is more than 13386). Euler's totient φ(13386) = 4224 numbers up to 13386 share no factor with it.
- 4
The digits of 13386 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13386 = 2 \times 3 \times 23 \times 97 \]
13386 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 4224 |
| Square | 179184996 |
| Cube | 2398570356456 |
| Square root | 115.697882 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3386 × |
13386 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eighty-six |
| Binary (base 2) | 11010001001010 |
| Octal (base 8) | 32112 |
| Hexadecimal (base 16) | 344A |
| Base 3 | 200100210 |
| As time | 13386 seconds = 3 h 43 min 6 s |
Is 13386 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13386 ÷ 2 = 6693) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13386 ÷ 3 = 4462) | 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 | Yes (13386 ÷ 6 = 2231) | 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 2) | 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 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13386 a prime number?
No. 13386 = 2 × 3 × 23 × 97, so it is divisible by 2.
What are the factors of 13386?
1, 2, 3, 6, 23, 46, 69, 97, 138, 194, 291, 582, 2231, 4462, 6693, 13386.
What is 13386 in binary?
11010001001010 (hexadecimal 344A, octal 32112).
What is the square root of 13386?
About 115.6979.
Is 13386 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13386?
It is a composite number with 16 divisors.