The number 13585
13585 is a composite number with 16 divisors. Its prime factorisation is 5 × 11 × 13 × 19. Divisors (16): 1, 5, 11, 13, 19, 55, 65, 95, 143, 209, 247, 715, 1045, 1235, 2717, 13585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13585 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 13585 itself that is 6575, so 13585 is deficient (6575 is less than 13585). Euler's totient φ(13585) = 8640 numbers up to 13585 share no factor with it.
- 4
The digits of 13585 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13585 = 5 \times 11 \times 13 \times 19 \]
13585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 8640 |
| Square | 184552225 |
| Cube | 2507141976625 |
| Square root | 116.554708 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3585 × |
13585 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and eighty-five |
| Binary (base 2) | 11010100010001 |
| Octal (base 8) | 32421 |
| Hexadecimal (base 16) | 3511 |
| Base 3 | 200122011 |
| As time | 13585 seconds = 3 h 46 min 25 s |
Is 13585 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 (13585 ÷ 5 = 2717) | 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 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13585 ÷ 11 = 1235) | 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 13585 a prime number?
No. 13585 = 5 × 11 × 13 × 19, so it is divisible by 5.
What are the factors of 13585?
1, 5, 11, 13, 19, 55, 65, 95, 143, 209, 247, 715, 1045, 1235, 2717, 13585.
What is 13585 in binary?
11010100010001 (hexadecimal 3511, octal 32421).
What is the square root of 13585?
About 116.5547.
Is 13585 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13585?
It is a composite number with 16 divisors.