The number 47500
47500 is a composite number with 30 divisors. Its prime factorisation is × × 19. Divisors (30): 1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250 … 47500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47500 is composite. Its prime factorisation is
- 3
The divisors add up to 109340; without 47500 itself that is 61840, so 47500 is abundant (61840 is more than 47500). Euler's totient φ(47500) = 18000 numbers up to 47500 share no factor with it.
- 4
The digits of 47500 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47500 = 2^{2} \times 5^{4} \times 19 \]47500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 109340 |
| Euler totient φ(n) | 18000 |
| Square | 2256250000 |
| Cube | 107171875000000 |
| Square root | 217.944947 (= 50√19) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.75 × |
47500 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred |
| Binary (base 2) | 1011100110001100 |
| Octal (base 8) | 134614 |
| Hexadecimal (base 16) | B98C |
| Base 3 | 2102011021 |
| As time | 47500 seconds = 13 h 11 min 40 s |
Is 47500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47500 ÷ 2 = 23750) | 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 (47500 ÷ 4 = 11875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47500 ÷ 5 = 9500) | 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 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47500 ÷ 10 = 4750) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47500 a prime number?
No. 47500 = × × 19, so it is divisible by 2.
What are the factors of 47500?
1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 625, 950, 1250, 1900, 2375, 2500, 4750, 9500, 11875, 23750, 47500.
What is 47500 in binary?
1011100110001100 (hexadecimal B98C, octal 134614).
What is the square root of 47500?
About 217.9449, exactly 50√19.
Is 47500 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47500?
It is a composite number with 30 divisors.