The number 13767
13767 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 353. Divisors (8): 1, 3, 13, 39, 353, 1059, 4589, 13767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13767 is composite. Its prime factorisation is
- 3
The divisors add up to 19824; without 13767 itself that is 6057, so 13767 is deficient (6057 is less than 13767). Euler's totient φ(13767) = 8448 numbers up to 13767 share no factor with it.
- 4
The digits of 13767 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13767 = 3 \times 13 \times 353 \]
13767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19824 |
| Euler totient φ(n) | 8448 |
| Square | 189530289 |
| Cube | 2609263488663 |
| Square root | 117.332860 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3767 × |
13767 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and sixty-seven |
| Binary (base 2) | 11010111000111 |
| Octal (base 8) | 32707 |
| Hexadecimal (base 16) | 35C7 |
| Base 3 | 200212220 |
| As time | 13767 seconds = 3 h 49 min 27 s |
Is 13767 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13767 ÷ 3 = 4589) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13767 a prime number?
No. 13767 = 3 × 13 × 353, so it is divisible by 3.
What are the factors of 13767?
1, 3, 13, 39, 353, 1059, 4589, 13767.
What is 13767 in binary?
11010111000111 (hexadecimal 35C7, octal 32707).
What is the square root of 13767?
About 117.3329.
Is 13767 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13767?
It is a composite number with 8 divisors.