The number 13887
13887 is a composite number with 6 divisors. Its prime factorisation is × 1543. Divisors (6): 1, 3, 9, 1543, 4629, 13887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13887 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13887 is composite. Its prime factorisation is
- 3
The divisors add up to 20072; without 13887 itself that is 6185, so 13887 is deficient (6185 is less than 13887). Euler's totient φ(13887) = 9252 numbers up to 13887 share no factor with it.
- 4
The digits of 13887 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 257 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13887 = 3^{2} \times 1543 \]13887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 20072 |
| Euler totient φ(n) | 9252 |
| Square | 192848769 |
| Cube | 2678090855103 |
| Square root | 117.843116 (= 3√1543) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 257 |
| Scientific notation | 1.3887 × |
13887 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and eighty-seven |
| Binary (base 2) | 11011000111111 |
| Octal (base 8) | 33077 |
| Hexadecimal (base 16) | 363F |
| Base 3 | 201001100 |
| As time | 13887 seconds = 3 h 51 min 27 s |
Is 13887 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 (13887 ÷ 3 = 4629) | 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 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13887 ÷ 9 = 1543) | 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 | No (remainder 5) | 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 13887 a prime number?
No. 13887 = × 1543, so it is divisible by 3.
What are the factors of 13887?
1, 3, 9, 1543, 4629, 13887.
What is 13887 in binary?
11011000111111 (hexadecimal 363F, octal 33077).
What is the square root of 13887?
About 117.8431, exactly 3√1543.
Is 13887 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 13887?
It is a composite number with 6 divisors.