The number 13885
13885 is a composite number with 4 divisors. Its prime factorisation is 5 × 2777. Divisors (4): 1, 5, 2777, 13885.
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How to work it out
- 1
What is special about 13885: a semiprime: 5 × 2777, the product of two primes.
- 2
13885 is composite. Its prime factorisation is
- 3
The divisors add up to 16668; without 13885 itself that is 2783, so 13885 is deficient (2783 is less than 13885). Euler's totient φ(13885) = 11104 numbers up to 13885 share no factor with it.
- 4
The digits of 13885 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13885 = 5 \times 2777 \]
13885 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16668 |
| Euler totient φ(n) | 11104 |
| Square | 192793225 |
| Cube | 2676933929125 |
| Square root | 117.834630 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3885 × |
13885 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and eighty-five |
| Binary (base 2) | 11011000111101 |
| Octal (base 8) | 33075 |
| Hexadecimal (base 16) | 363D |
| Base 3 | 201001021 |
| As time | 13885 seconds = 3 h 51 min 25 s |
Is 13885 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 | No (remainder 1) | 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 | Yes (13885 ÷ 5 = 2777) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13885 a prime number?
No. 13885 = 5 × 2777, so it is divisible by 5.
What are the factors of 13885?
1, 5, 2777, 13885.
What is 13885 in binary?
11011000111101 (hexadecimal 363D, octal 33075).
What is the square root of 13885?
About 117.8346.
Is 13885 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13885?
13885 is a semiprime: 5 × 2777, the product of two primes.