The number 47975
47975 is a composite number with 12 divisors. Its prime factorisation is × 19 × 101. Divisors (12): 1, 5, 19, 25, 95, 101, 475, 505, 1919, 2525, 9595, 47975.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47975 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47975 is composite. Its prime factorisation is
- 3
The divisors add up to 63240; without 47975 itself that is 15265, so 47975 is deficient (15265 is less than 47975). Euler's totient φ(47975) = 36000 numbers up to 47975 share no factor with it.
- 4
The digits of 47975 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47975 = 5^{2} \times 19 \times 101 \]47975 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63240 |
| Euler totient φ(n) | 36000 |
| Square | 2301600625 |
| Cube | 110419289984375 |
| Square root | 219.031961 (= 5√1919) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.7975 × |
47975 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and seventy-five |
| Binary (base 2) | 1011101101100111 |
| Octal (base 8) | 135547 |
| Hexadecimal (base 16) | BB67 |
| Base 3 | 2102210212 |
| As time | 47975 seconds = 13 h 19 min 35 s |
Is 47975 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 | No (remainder 2) | 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 (47975 ÷ 5 = 9595) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47975 a prime number?
No. 47975 = × 19 × 101, so it is divisible by 5.
What are the factors of 47975?
1, 5, 19, 25, 95, 101, 475, 505, 1919, 2525, 9595, 47975.
What is 47975 in binary?
1011101101100111 (hexadecimal BB67, octal 135547).
What is the square root of 47975?
About 219.0320, exactly 5√1919.
Is 47975 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 47975?
It is a composite number with 12 divisors.