The number 47550
47550 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 317. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 317, 634, 951, 1585 … 47550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47550 is composite. Its prime factorisation is
- 3
The divisors add up to 118296; without 47550 itself that is 70746, so 47550 is abundant (70746 is more than 47550). Euler's totient φ(47550) = 12640 numbers up to 47550 share no factor with it.
- 4
The digits of 47550 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47550 = 2 \times 3 \times 5^{2} \times 317 \]47550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118296 |
| Euler totient φ(n) | 12640 |
| Square | 2261002500 |
| Cube | 107510668875000 |
| Square root | 218.059625 (= 5√1902) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.755 × |
47550 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and fifty |
| Binary (base 2) | 1011100110111110 |
| Octal (base 8) | 134676 |
| Hexadecimal (base 16) | B9BE |
| Base 3 | 2102020010 |
| As time | 47550 seconds = 13 h 12 min 30 s |
Is 47550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47550 ÷ 2 = 23775) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47550 ÷ 3 = 15850) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47550 ÷ 5 = 9510) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47550 ÷ 6 = 7925) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47550 ÷ 10 = 4755) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47550 a prime number?
No. 47550 = 2 × 3 × × 317, so it is divisible by 2.
What are the factors of 47550?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 317, 634, 951, 1585, 1902, 3170, 4755, 7925, 9510, 15850, 23775, 47550.
What is 47550 in binary?
1011100110111110 (hexadecimal B9BE, octal 134676).
What is the square root of 47550?
About 218.0596, exactly 5√1902.
Is 47550 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47550?
It is a composite number with 24 divisors.