The number 13085
13085 is a composite number with 4 divisors. Its prime factorisation is 5 × 2617. Divisors (4): 1, 5, 2617, 13085.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13085: a semiprime: 5 × 2617, the product of two primes.
- 2
13085 is composite. Its prime factorisation is
- 3
The divisors add up to 15708; without 13085 itself that is 2623, so 13085 is deficient (2623 is less than 13085). Euler's totient φ(13085) = 10464 numbers up to 13085 share no factor with it.
- 4
The digits of 13085 add up to 17, 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
\[ 13085 = 5 \times 2617 \]
13085 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 15708 |
| Euler totient φ(n) | 10464 |
| Square | 171217225 |
| Cube | 2240377389125 |
| Square root | 114.389685 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3085 × |
13085 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and eighty-five |
| Binary (base 2) | 11001100011101 |
| Octal (base 8) | 31435 |
| Hexadecimal (base 16) | 331D |
| Base 3 | 122221122 |
| As time | 13085 seconds = 3 h 38 min 5 s |
Is 13085 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13085 ÷ 5 = 2617) | 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 | No (remainder 2) | 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 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13085 a prime number?
No. 13085 = 5 × 2617, so it is divisible by 5.
What are the factors of 13085?
1, 5, 2617, 13085.
What is 13085 in binary?
11001100011101 (hexadecimal 331D, octal 31435).
What is the square root of 13085?
About 114.3897.
Is 13085 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13085?
13085 is a semiprime: 5 × 2617, the product of two primes.