The number 13844
13844 is a composite number with 6 divisors. Its prime factorisation is × 3461. Divisors (6): 1, 2, 4, 3461, 6922, 13844.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13844 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13844 is composite. Its prime factorisation is
- 3
The divisors add up to 24234; without 13844 itself that is 10390, so 13844 is deficient (10390 is less than 13844). Euler's totient φ(13844) = 6920 numbers up to 13844 share no factor with it.
- 4
The digits of 13844 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13844 = 2^{2} \times 3461 \]13844 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24234 |
| Euler totient φ(n) | 6920 |
| Square | 191656336 |
| Cube | 2653290315584 |
| Square root | 117.660529 (= 2√3461) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3844 × |
13844 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and forty-four |
| Binary (base 2) | 11011000010100 |
| Octal (base 8) | 33024 |
| Hexadecimal (base 16) | 3614 |
| Base 3 | 200222202 |
| As time | 13844 seconds = 3 h 50 min 44 s |
Is 13844 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13844 ÷ 2 = 6922) | 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 | Yes (13844 ÷ 4 = 3461) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13844 a prime number?
No. 13844 = × 3461, so it is divisible by 2.
What are the factors of 13844?
1, 2, 4, 3461, 6922, 13844.
What is 13844 in binary?
11011000010100 (hexadecimal 3614, octal 33024).
What is the square root of 13844?
About 117.6605, exactly 2√3461.
Is 13844 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13844?
It is a composite number with 6 divisors.