The number 13760
13760 is a composite number with 28 divisors. Its prime factorisation is × 5 × 43. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 160, 172 … 13760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13760 is composite. Its prime factorisation is
- 3
The divisors add up to 33528; without 13760 itself that is 19768, so 13760 is abundant (19768 is more than 13760). Euler's totient φ(13760) = 5376 numbers up to 13760 share no factor with it.
- 4
The digits of 13760 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13760 = 2^{6} \times 5 \times 43 \]13760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 33528 |
| Euler totient φ(n) | 5376 |
| Square | 189337600 |
| Cube | 2605285376000 |
| Square root | 117.303026 (= 8√215) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.376 × |
13760 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and sixty |
| Binary (base 2) | 11010111000000 |
| Octal (base 8) | 32700 |
| Hexadecimal (base 16) | 35C0 |
| Base 3 | 200212122 |
| As time | 13760 seconds = 3 h 49 min 20 s |
Is 13760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13760 ÷ 2 = 6880) | 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 | Yes (13760 ÷ 4 = 3440) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13760 ÷ 5 = 2752) | 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 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 | Yes (13760 ÷ 8 = 1720) | 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 (13760 ÷ 10 = 1376) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13760 a prime number?
No. 13760 = × 5 × 43, so it is divisible by 2.
What are the factors of 13760?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 160, 172, 215, 320, 344, 430, 688, 860, 1376, 1720, 2752, 3440, 6880, 13760.
What is 13760 in binary?
11010111000000 (hexadecimal 35C0, octal 32700).
What is the square root of 13760?
About 117.3030, exactly 8√215.
Is 13760 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13760?
It is a composite number with 28 divisors.