The number 13610
13610 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1361. Divisors (8): 1, 2, 5, 10, 1361, 2722, 6805, 13610.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13610 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13610 is composite. Its prime factorisation is
- 3
The divisors add up to 24516; without 13610 itself that is 10906, so 13610 is deficient (10906 is less than 13610). Euler's totient φ(13610) = 5440 numbers up to 13610 share no factor with it.
- 4
The digits of 13610 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13610 = 2 \times 5 \times 1361 \]
13610 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24516 |
| Euler totient φ(n) | 5440 |
| Square | 185232100 |
| Cube | 2521008881000 |
| Square root | 116.661905 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.361 × |
13610 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and ten |
| Binary (base 2) | 11010100101010 |
| Octal (base 8) | 32452 |
| Hexadecimal (base 16) | 352A |
| Base 3 | 200200002 |
| As time | 13610 seconds = 3 h 46 min 50 s |
Is 13610 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13610 ÷ 2 = 6805) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13610 ÷ 5 = 2722) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13610 ÷ 10 = 1361) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13610 a prime number?
No. 13610 = 2 × 5 × 1361, so it is divisible by 2.
What are the factors of 13610?
1, 2, 5, 10, 1361, 2722, 6805, 13610.
What is 13610 in binary?
11010100101010 (hexadecimal 352A, octal 32452).
What is the square root of 13610?
About 116.6619.
Is 13610 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13610?
It is a composite number with 8 divisors.