The number 13310
13310 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × . Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210, 1331, 2662, 6655, 13310.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13310 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13310 is composite. Its prime factorisation is
- 3
The divisors add up to 26352; without 13310 itself that is 13042, so 13310 is deficient (13042 is less than 13310). Euler's totient φ(13310) = 4840 numbers up to 13310 share no factor with it.
- 4
The digits of 13310 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13310 = 2 \times 5 \times 11^{3} \]13310 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 26352 |
| Euler totient φ(n) | 4840 |
| Square | 177156100 |
| Cube | 2357947691000 |
| Square root | 115.368973 (= 11√110) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.331 × |
13310 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and ten |
| Binary (base 2) | 11001111111110 |
| Octal (base 8) | 31776 |
| Hexadecimal (base 16) | 33FE |
| Base 3 | 200020222 |
| As time | 13310 seconds = 3 h 41 min 50 s |
Is 13310 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13310 ÷ 2 = 6655) | 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 (13310 ÷ 5 = 2662) | 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 3) | 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 6) | 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 | Yes (13310 ÷ 10 = 1331) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13310 ÷ 11 = 1210) | 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 13310 a prime number?
No. 13310 = 2 × 5 × , so it is divisible by 2.
What are the factors of 13310?
1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210, 1331, 2662, 6655, 13310.
What is 13310 in binary?
11001111111110 (hexadecimal 33FE, octal 31776).
What is the square root of 13310?
About 115.3690, exactly 11√110.
Is 13310 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 13310?
It is a composite number with 16 divisors.