The number 13864
13864 is a composite number with 8 divisors. Its prime factorisation is × 1733. Divisors (8): 1, 2, 4, 8, 1733, 3466, 6932, 13864.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13864 is composite. Its prime factorisation is
- 3
The divisors add up to 26010; without 13864 itself that is 12146, so 13864 is deficient (12146 is less than 13864). Euler's totient φ(13864) = 6928 numbers up to 13864 share no factor with it.
- 4
The digits of 13864 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13864 = 2^{3} \times 1733 \]13864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26010 |
| Euler totient φ(n) | 6928 |
| Square | 192210496 |
| Cube | 2664806316544 |
| Square root | 117.745488 (= 2√3466) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3864 × |
13864 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and sixty-four |
| Binary (base 2) | 11011000101000 |
| Octal (base 8) | 33050 |
| Hexadecimal (base 16) | 3628 |
| Base 3 | 201000111 |
| As time | 13864 seconds = 3 h 51 min 4 s |
Is 13864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13864 ÷ 2 = 6932) | 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 | Yes (13864 ÷ 4 = 3466) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (13864 ÷ 8 = 1733) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13864 a prime number?
No. 13864 = × 1733, so it is divisible by 2.
What are the factors of 13864?
1, 2, 4, 8, 1733, 3466, 6932, 13864.
What is 13864 in binary?
11011000101000 (hexadecimal 3628, octal 33050).
What is the square root of 13864?
About 117.7455, exactly 2√3466.
Is 13864 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13864?
It is a composite number with 8 divisors.