The number 13326
13326 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2221. Divisors (8): 1, 2, 3, 6, 2221, 4442, 6663, 13326.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13326 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13326 is composite. Its prime factorisation is
- 3
The divisors add up to 26664; without 13326 itself that is 13338, so 13326 is abundant (13338 is more than 13326). Euler's totient φ(13326) = 4440 numbers up to 13326 share no factor with it.
- 4
The digits of 13326 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13326 = 2 \times 3 \times 2221 \]
13326 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26664 |
| Euler totient φ(n) | 4440 |
| Square | 177582276 |
| Cube | 2366461409976 |
| Square root | 115.438295 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3326 × |
13326 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twenty-six |
| Binary (base 2) | 11010000001110 |
| Octal (base 8) | 32016 |
| Hexadecimal (base 16) | 340E |
| Base 3 | 200021120 |
| As time | 13326 seconds = 3 h 42 min 6 s |
Is 13326 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13326 ÷ 2 = 6663) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13326 ÷ 3 = 4442) | 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 (13326 ÷ 6 = 2221) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 5) | 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 13326 a prime number?
No. 13326 = 2 × 3 × 2221, so it is divisible by 2.
What are the factors of 13326?
1, 2, 3, 6, 2221, 4442, 6663, 13326.
What is 13326 in binary?
11010000001110 (hexadecimal 340E, octal 32016).
What is the square root of 13326?
About 115.4383.
Is 13326 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13326?
It is a composite number with 8 divisors.