The number 20187
20187 is a composite number with 6 divisors. Its prime factorisation is × 2243. Divisors (6): 1, 3, 9, 2243, 6729, 20187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20187 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20187 is composite. Its prime factorisation is
- 3
The divisors add up to 29172; without 20187 itself that is 8985, so 20187 is deficient (8985 is less than 20187). Euler's totient φ(20187) = 13452 numbers up to 20187 share no factor with it.
- 4
The digits of 20187 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20187 = 3^{2} \times 2243 \]20187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 29172 |
| Euler totient φ(n) | 13452 |
| Square | 407514969 |
| Cube | 8226504679203 |
| Square root | 142.080963 (= 3√2243) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 167 |
| Scientific notation | 2.0187 × |
20187 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and eighty-seven |
| Binary (base 2) | 100111011011011 |
| Octal (base 8) | 47333 |
| Hexadecimal (base 16) | 4EDB |
| Base 3 | 1000200200 |
| As time | 20187 seconds = 5 h 36 min 27 s |
Is 20187 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 (20187 ÷ 3 = 6729) | 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20187 ÷ 9 = 2243) | 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 2) | 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 20187 a prime number?
No. 20187 = × 2243, so it is divisible by 3.
What are the factors of 20187?
1, 3, 9, 2243, 6729, 20187.
What is 20187 in binary?
100111011011011 (hexadecimal 4EDB, octal 47333).
What is the square root of 20187?
About 142.0810, exactly 3√2243.
Is 20187 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 20187?
It is a composite number with 6 divisors.