The number 13787
13787 is a composite number with 4 divisors. Its prime factorisation is 17 × 811. Divisors (4): 1, 17, 811, 13787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13787: a semiprime: 17 × 811, the product of two primes.
- 2
13787 is composite. Its prime factorisation is
- 3
The divisors add up to 14616; without 13787 itself that is 829, so 13787 is deficient (829 is less than 13787). Euler's totient φ(13787) = 12960 numbers up to 13787 share no factor with it.
- 4
The digits of 13787 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13787 = 17 \times 811 \]
13787 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14616 |
| Euler totient φ(n) | 12960 |
| Square | 190081369 |
| Cube | 2620651834403 |
| Square root | 117.418057 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3787 × |
13787 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and eighty-seven |
| Binary (base 2) | 11010111011011 |
| Octal (base 8) | 32733 |
| Hexadecimal (base 16) | 35DB |
| Base 3 | 200220122 |
| As time | 13787 seconds = 3 h 49 min 47 s |
Is 13787 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 | No (remainder 2) | 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 5) | 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 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13787 a prime number?
No. 13787 = 17 × 811, so it is divisible by 17.
What are the factors of 13787?
1, 17, 811, 13787.
What is 13787 in binary?
11010111011011 (hexadecimal 35DB, octal 32733).
What is the square root of 13787?
About 117.4181.
Is 13787 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13787?
13787 is a semiprime: 17 × 811, the product of two primes.