The number 13895
13895 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 397. Divisors (8): 1, 5, 7, 35, 397, 1985, 2779, 13895.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13895 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13895 is composite. Its prime factorisation is
- 3
The divisors add up to 19104; without 13895 itself that is 5209, so 13895 is deficient (5209 is less than 13895). Euler's totient φ(13895) = 9504 numbers up to 13895 share no factor with it.
- 4
The digits of 13895 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13895 = 5 \times 7 \times 397 \]
13895 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19104 |
| Euler totient φ(n) | 9504 |
| Square | 193071025 |
| Cube | 2682721892375 |
| Square root | 117.877055 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3895 × |
13895 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and ninety-five |
| Binary (base 2) | 11011001000111 |
| Octal (base 8) | 33107 |
| Hexadecimal (base 16) | 3647 |
| Base 3 | 201001122 |
| As time | 13895 seconds = 3 h 51 min 35 s |
Is 13895 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 2) | 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 | Yes (13895 ÷ 5 = 2779) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13895 ÷ 7 = 1985) | 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 | No (remainder 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13895 a prime number?
No. 13895 = 5 × 7 × 397, so it is divisible by 5.
What are the factors of 13895?
1, 5, 7, 35, 397, 1985, 2779, 13895.
What is 13895 in binary?
11011001000111 (hexadecimal 3647, octal 33107).
What is the square root of 13895?
About 117.8771.
Is 13895 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13895?
It is a composite number with 8 divisors.