The number 47188
47188 is a composite number with 12 divisors. Its prime factorisation is × 47 × 251. Divisors (12): 1, 2, 4, 47, 94, 188, 251, 502, 1004, 11797, 23594, 47188.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47188 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47188 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 47188 itself that is 37484, so 47188 is deficient (37484 is less than 47188). Euler's totient φ(47188) = 23000 numbers up to 47188 share no factor with it.
- 4
The digits of 47188 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47188 = 2^{2} \times 47 \times 251 \]47188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 23000 |
| Square | 2226707344 |
| Cube | 105073866148672 |
| Square root | 217.227991 (= 2√11797) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7188 × |
47188 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and eighty-eight |
| Binary (base 2) | 1011100001010100 |
| Octal (base 8) | 134124 |
| Hexadecimal (base 16) | B854 |
| Base 3 | 2101201201 |
| As time | 47188 seconds = 13 h 6 min 28 s |
Is 47188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47188 ÷ 2 = 23594) | 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 | Yes (47188 ÷ 4 = 11797) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47188 a prime number?
No. 47188 = × 47 × 251, so it is divisible by 2.
What are the factors of 47188?
1, 2, 4, 47, 94, 188, 251, 502, 1004, 11797, 23594, 47188.
What is 47188 in binary?
1011100001010100 (hexadecimal B854, octal 134124).
What is the square root of 47188?
About 217.2280, exactly 2√11797.
Is 47188 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47188?
It is a composite number with 12 divisors.