The number 47187
47187 is a composite number with 18 divisors. Its prime factorisation is × × 107. Divisors (18): 1, 3, 7, 9, 21, 49, 63, 107, 147, 321, 441, 749, 963, 2247, 5243, 6741 … 47187.
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How to work it out
- 1
47187 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47187 is composite. Its prime factorisation is
- 3
The divisors add up to 80028; without 47187 itself that is 32841, so 47187 is deficient (32841 is less than 47187). Euler's totient φ(47187) = 26712 numbers up to 47187 share no factor with it.
- 4
The digits of 47187 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47187 = 3^{2} \times 7^{2} \times 107 \]47187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 80028 |
| Euler totient φ(n) | 26712 |
| Square | 2226612969 |
| Cube | 105067186168203 |
| Square root | 217.225689 (= 21√107) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7187 × |
47187 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and eighty-seven |
| Binary (base 2) | 1011100001010011 |
| Octal (base 8) | 134123 |
| Hexadecimal (base 16) | B853 |
| Base 3 | 2101201200 |
| As time | 47187 seconds = 13 h 6 min 27 s |
Is 47187 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 (47187 ÷ 3 = 15729) | 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 | Yes (47187 ÷ 7 = 6741) | 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 (47187 ÷ 9 = 5243) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47187 a prime number?
No. 47187 = × × 107, so it is divisible by 3.
What are the factors of 47187?
1, 3, 7, 9, 21, 49, 63, 107, 147, 321, 441, 749, 963, 2247, 5243, 6741, 15729, 47187.
What is 47187 in binary?
1011100001010011 (hexadecimal B853, octal 134123).
What is the square root of 47187?
About 217.2257, exactly 21√107.
Is 47187 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47187?
It is a composite number with 18 divisors.