The number 13387
13387 is a composite number with 4 divisors. Its prime factorisation is 11 × 1217. Divisors (4): 1, 11, 1217, 13387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13387: a semiprime: 11 × 1217, the product of two primes.
- 2
13387 is composite. Its prime factorisation is
- 3
The divisors add up to 14616; without 13387 itself that is 1229, so 13387 is deficient (1229 is less than 13387). Euler's totient φ(13387) = 12160 numbers up to 13387 share no factor with it.
- 4
The digits of 13387 add up to 22, 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
\[ 13387 = 11 \times 1217 \]
13387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14616 |
| Euler totient φ(n) | 12160 |
| Square | 179211769 |
| Cube | 2399107951603 |
| Square root | 115.702204 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3387 × |
13387 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eighty-seven |
| Binary (base 2) | 11010001001011 |
| Octal (base 8) | 32113 |
| Hexadecimal (base 16) | 344B |
| Base 3 | 200100211 |
| As time | 13387 seconds = 3 h 43 min 7 s |
Is 13387 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 | Yes (13387 ÷ 11 = 1217) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13387 a prime number?
No. 13387 = 11 × 1217, so it is divisible by 11.
What are the factors of 13387?
1, 11, 1217, 13387.
What is 13387 in binary?
11010001001011 (hexadecimal 344B, octal 32113).
What is the square root of 13387?
About 115.7022.
Is 13387 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13387?
13387 is a semiprime: 11 × 1217, the product of two primes.