The number 13846
13846 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 23 × 43. Divisors (16): 1, 2, 7, 14, 23, 43, 46, 86, 161, 301, 322, 602, 989, 1978, 6923, 13846.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13846 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13846 is composite. Its prime factorisation is
- 3
The divisors add up to 25344; without 13846 itself that is 11498, so 13846 is deficient (11498 is less than 13846). Euler's totient φ(13846) = 5544 numbers up to 13846 share no factor with it.
- 4
The digits of 13846 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13846 = 2 \times 7 \times 23 \times 43 \]
13846 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25344 |
| Euler totient φ(n) | 5544 |
| Square | 191711716 |
| Cube | 2654440419736 |
| Square root | 117.669027 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3846 × |
13846 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and forty-six |
| Binary (base 2) | 11011000010110 |
| Octal (base 8) | 33026 |
| Hexadecimal (base 16) | 3616 |
| Base 3 | 200222211 |
| As time | 13846 seconds = 3 h 50 min 46 s |
Is 13846 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13846 ÷ 2 = 6923) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13846 ÷ 7 = 1978) | 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 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13846 a prime number?
No. 13846 = 2 × 7 × 23 × 43, so it is divisible by 2.
What are the factors of 13846?
1, 2, 7, 14, 23, 43, 46, 86, 161, 301, 322, 602, 989, 1978, 6923, 13846.
What is 13846 in binary?
11011000010110 (hexadecimal 3616, octal 33026).
What is the square root of 13846?
About 117.6690.
Is 13846 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13846?
It is a composite number with 16 divisors.