The number 13826
13826 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 223. Divisors (8): 1, 2, 31, 62, 223, 446, 6913, 13826.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13826 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13826 is composite. Its prime factorisation is
- 3
The divisors add up to 21504; without 13826 itself that is 7678, so 13826 is deficient (7678 is less than 13826). Euler's totient φ(13826) = 6660 numbers up to 13826 share no factor with it.
- 4
The digits of 13826 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13826 = 2 \times 31 \times 223 \]
13826 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21504 |
| Euler totient φ(n) | 6660 |
| Square | 191158276 |
| Cube | 2642954323976 |
| Square root | 117.584013 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3826 × |
13826 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and twenty-six |
| Binary (base 2) | 11011000000010 |
| Octal (base 8) | 33002 |
| Hexadecimal (base 16) | 3602 |
| Base 3 | 200222002 |
| As time | 13826 seconds = 3 h 50 min 26 s |
Is 13826 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13826 ÷ 2 = 6913) | 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 1) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13826 a prime number?
No. 13826 = 2 × 31 × 223, so it is divisible by 2.
What are the factors of 13826?
1, 2, 31, 62, 223, 446, 6913, 13826.
What is 13826 in binary?
11011000000010 (hexadecimal 3602, octal 33002).
What is the square root of 13826?
About 117.5840.
Is 13826 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13826?
It is a composite number with 8 divisors.