The number 13827
13827 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 419. Divisors (8): 1, 3, 11, 33, 419, 1257, 4609, 13827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13827 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13827 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 13827 itself that is 6333, so 13827 is deficient (6333 is less than 13827). Euler's totient φ(13827) = 8360 numbers up to 13827 share no factor with it.
- 4
The digits of 13827 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13827 = 3 \times 11 \times 419 \]
13827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 8360 |
| Square | 191185929 |
| Cube | 2643527840283 |
| Square root | 117.588265 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3827 × |
13827 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and twenty-seven |
| Binary (base 2) | 11011000000011 |
| Octal (base 8) | 33003 |
| Hexadecimal (base 16) | 3603 |
| Base 3 | 200222010 |
| As time | 13827 seconds = 3 h 50 min 27 s |
Is 13827 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13827 ÷ 3 = 4609) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13827 ÷ 11 = 1257) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13827 a prime number?
No. 13827 = 3 × 11 × 419, so it is divisible by 3.
What are the factors of 13827?
1, 3, 11, 33, 419, 1257, 4609, 13827.
What is 13827 in binary?
11011000000011 (hexadecimal 3603, octal 33003).
What is the square root of 13827?
About 117.5883.
Is 13827 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13827?
It is a composite number with 8 divisors.