The number 13768
13768 is a composite number with 8 divisors. Its prime factorisation is × 1721. Divisors (8): 1, 2, 4, 8, 1721, 3442, 6884, 13768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13768 is composite. Its prime factorisation is
- 3
The divisors add up to 25830; without 13768 itself that is 12062, so 13768 is deficient (12062 is less than 13768). Euler's totient φ(13768) = 6880 numbers up to 13768 share no factor with it.
- 4
The digits of 13768 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13768 = 2^{3} \times 1721 \]13768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25830 |
| Euler totient φ(n) | 6880 |
| Square | 189557824 |
| Cube | 2609832120832 |
| Square root | 117.337121 (= 2√3442) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3768 × |
13768 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and sixty-eight |
| Binary (base 2) | 11010111001000 |
| Octal (base 8) | 32710 |
| Hexadecimal (base 16) | 35C8 |
| Base 3 | 200212221 |
| As time | 13768 seconds = 3 h 49 min 28 s |
Is 13768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13768 ÷ 2 = 6884) | 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 (13768 ÷ 4 = 3442) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 (13768 ÷ 8 = 1721) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 13768 a prime number?
No. 13768 = × 1721, so it is divisible by 2.
What are the factors of 13768?
1, 2, 4, 8, 1721, 3442, 6884, 13768.
What is 13768 in binary?
11010111001000 (hexadecimal 35C8, octal 32710).
What is the square root of 13768?
About 117.3371, exactly 2√3442.
Is 13768 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13768?
It is a composite number with 8 divisors.