The number 13360
13360 is a composite number with 20 divisors. Its prime factorisation is × 5 × 167. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 167, 334, 668, 835, 1336, 1670 … 13360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13360 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13360 is composite. Its prime factorisation is
- 3
The divisors add up to 31248; without 13360 itself that is 17888, so 13360 is abundant (17888 is more than 13360). Euler's totient φ(13360) = 5312 numbers up to 13360 share no factor with it.
- 4
The digits of 13360 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13360 = 2^{4} \times 5 \times 167 \]13360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 31248 |
| Euler totient φ(n) | 5312 |
| Square | 178489600 |
| Cube | 2384621056000 |
| Square root | 115.585466 (= 4√835) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.336 × |
13360 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and sixty |
| Binary (base 2) | 11010000110000 |
| Octal (base 8) | 32060 |
| Hexadecimal (base 16) | 3430 |
| Base 3 | 200022211 |
| As time | 13360 seconds = 3 h 42 min 40 s |
Is 13360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13360 ÷ 2 = 6680) | 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 | Yes (13360 ÷ 4 = 3340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13360 ÷ 5 = 2672) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (13360 ÷ 8 = 1670) | 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 | Yes (13360 ÷ 10 = 1336) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13360 a prime number?
No. 13360 = × 5 × 167, so it is divisible by 2.
What are the factors of 13360?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 167, 334, 668, 835, 1336, 1670, 2672, 3340, 6680, 13360.
What is 13360 in binary?
11010000110000 (hexadecimal 3430, octal 32060).
What is the square root of 13360?
About 115.5855, exactly 4√835.
Is 13360 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13360?
It is a composite number with 20 divisors.