The number 47875
47875 is a composite number with 8 divisors. Its prime factorisation is Ć 383. Divisors (8): 1, 5, 25, 125, 383, 1915, 9575, 47875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47875: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47875 is composite. Its prime factorisation is
- 3
The divisors add up to 59904; without 47875 itself that is 12029, so 47875 is deficient (12029 is less than 47875). Euler's totient Ļ(47875) = 38200 numbers up to 47875 share no factor with it.
- 4
The digits of 47875 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47875 = 5^{3} \times 383 \]47875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59904 |
| Euler totient Ļ(n) | 38200 |
| Square | 2292015625 |
| Cube | 109730248046875 |
| Square root | 218.803565 (= 5ā1915) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7875 Ć |
47875 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and seventy-five |
| Binary (base 2) | 1011101100000011 |
| Octal (base 8) | 135403 |
| Hexadecimal (base 16) | BB03 |
| Base 3 | 2102200011 |
| As time | 47875 seconds = 13 h 17 min 55 s |
Is 47875 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 1) | 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 (47875 Ć· 5 = 9575) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47875 a prime number?
No. 47875 = Ć 383, so it is divisible by 5.
What are the factors of 47875?
1, 5, 25, 125, 383, 1915, 9575, 47875.
What is 47875 in binary?
1011101100000011 (hexadecimal BB03, octal 135403).
What is the square root of 47875?
About 218.8036, exactly 5ā1915.
Is 47875 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 47875?
47875 is a happy number: repeatedly adding the squares of its digits reaches 1.