The number 16387
16387 is a composite number with 4 divisors. Its prime factorisation is 7 × 2341. Divisors (4): 1, 7, 2341, 16387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16387: a semiprime: 7 × 2341, the product of two primes.
- 2
16387 is composite. Its prime factorisation is
- 3
The divisors add up to 18736; without 16387 itself that is 2349, so 16387 is deficient (2349 is less than 16387). Euler's totient φ(16387) = 14040 numbers up to 16387 share no factor with it.
- 4
The digits of 16387 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16387 = 7 \times 2341 \]
16387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18736 |
| Euler totient φ(n) | 14040 |
| Square | 268533769 |
| Cube | 4400462872603 |
| Square root | 128.011718 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.6387 × |
16387 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and eighty-seven |
| Binary (base 2) | 100000000000011 |
| Octal (base 8) | 40003 |
| Hexadecimal (base 16) | 4003 |
| Base 3 | 211110221 |
| As time | 16387 seconds = 4 h 33 min 7 s |
Is 16387 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 | Yes (16387 ÷ 7 = 2341) | 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 7) | 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 8) | 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 16387 a prime number?
No. 16387 = 7 × 2341, so it is divisible by 7.
What are the factors of 16387?
1, 7, 2341, 16387.
What is 16387 in binary?
100000000000011 (hexadecimal 4003, octal 40003).
What is the square root of 16387?
About 128.0117.
Is 16387 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 16387?
16387 is a semiprime: 7 × 2341, the product of two primes.