The number 47475
47475 is a composite number with 18 divisors. Its prime factorisation is × × 211. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 211, 225, 633, 1055, 1899, 3165, 5275, 9495 … 47475.
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How to work it out
- 1
47475 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47475 is composite. Its prime factorisation is
- 3
The divisors add up to 85436; without 47475 itself that is 37961, so 47475 is deficient (37961 is less than 47475). Euler's totient φ(47475) = 25200 numbers up to 47475 share no factor with it.
- 4
The digits of 47475 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47475 = 3^{2} \times 5^{2} \times 211 \]47475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 85436 |
| Euler totient φ(n) | 25200 |
| Square | 2253875625 |
| Cube | 107002745296875 |
| Square root | 217.887586 (= 15√211) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.7475 × |
47475 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and seventy-five |
| Binary (base 2) | 1011100101110011 |
| Octal (base 8) | 134563 |
| Hexadecimal (base 16) | B973 |
| Base 3 | 2102010100 |
| As time | 47475 seconds = 13 h 11 min 15 s |
Is 47475 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 (47475 ÷ 3 = 15825) | 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 | Yes (47475 ÷ 5 = 9495) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47475 ÷ 9 = 5275) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 47475 a prime number?
No. 47475 = × × 211, so it is divisible by 3.
What are the factors of 47475?
1, 3, 5, 9, 15, 25, 45, 75, 211, 225, 633, 1055, 1899, 3165, 5275, 9495, 15825, 47475.
What is 47475 in binary?
1011100101110011 (hexadecimal B973, octal 134563).
What is the square root of 47475?
About 217.8876, exactly 15√211.
Is 47475 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47475?
It is a composite number with 18 divisors.