The number 13893
13893 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 421. Divisors (8): 1, 3, 11, 33, 421, 1263, 4631, 13893.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13893 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13893 is composite. Its prime factorisation is
- 3
The divisors add up to 20256; without 13893 itself that is 6363, so 13893 is deficient (6363 is less than 13893). Euler's totient φ(13893) = 8400 numbers up to 13893 share no factor with it.
- 4
The digits of 13893 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13893 = 3 \times 11 \times 421 \]
13893 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20256 |
| Euler totient φ(n) | 8400 |
| Square | 193015449 |
| Cube | 2681563632957 |
| Square root | 117.868571 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3893 × |
13893 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and ninety-three |
| Binary (base 2) | 11011001000101 |
| Octal (base 8) | 33105 |
| Hexadecimal (base 16) | 3645 |
| Base 3 | 201001120 |
| As time | 13893 seconds = 3 h 51 min 33 s |
Is 13893 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 (13893 ÷ 3 = 4631) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13893 ÷ 11 = 1263) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13893 a prime number?
No. 13893 = 3 × 11 × 421, so it is divisible by 3.
What are the factors of 13893?
1, 3, 11, 33, 421, 1263, 4631, 13893.
What is 13893 in binary?
11011001000101 (hexadecimal 3645, octal 33105).
What is the square root of 13893?
About 117.8686.
Is 13893 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13893?
It is a composite number with 8 divisors.