The number 13226
13226 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 389. Divisors (8): 1, 2, 17, 34, 389, 778, 6613, 13226.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13226 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13226 is composite. Its prime factorisation is
- 3
The divisors add up to 21060; without 13226 itself that is 7834, so 13226 is deficient (7834 is less than 13226). Euler's totient φ(13226) = 6208 numbers up to 13226 share no factor with it.
- 4
The digits of 13226 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13226 = 2 \times 17 \times 389 \]
13226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21060 |
| Euler totient φ(n) | 6208 |
| Square | 174927076 |
| Cube | 2313585507176 |
| Square root | 115.004348 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3226 × |
13226 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and twenty-six |
| Binary (base 2) | 11001110101010 |
| Octal (base 8) | 31652 |
| Hexadecimal (base 16) | 33AA |
| Base 3 | 200010212 |
| As time | 13226 seconds = 3 h 40 min 26 s |
Is 13226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13226 ÷ 2 = 6613) | 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 | No (remainder 3) | 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 5) | 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 4) | 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 13226 a prime number?
No. 13226 = 2 × 17 × 389, so it is divisible by 2.
What are the factors of 13226?
1, 2, 17, 34, 389, 778, 6613, 13226.
What is 13226 in binary?
11001110101010 (hexadecimal 33AA, octal 31652).
What is the square root of 13226?
About 115.0043.
Is 13226 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13226?
It is a composite number with 8 divisors.