The number 47750
47750 is a composite number with 16 divisors. Its prime factorisation is 2 × × 191. Divisors (16): 1, 2, 5, 10, 25, 50, 125, 191, 250, 382, 955, 1910, 4775, 9550, 23875, 47750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47750: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47750 is composite. Its prime factorisation is
- 3
The divisors add up to 89856; without 47750 itself that is 42106, so 47750 is deficient (42106 is less than 47750). Euler's totient φ(47750) = 19000 numbers up to 47750 share no factor with it.
- 4
The digits of 47750 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47750 = 2 \times 5^{3} \times 191 \]47750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89856 |
| Euler totient φ(n) | 19000 |
| Square | 2280062500 |
| Cube | 108872984375000 |
| Square root | 218.517734 (= 5√1910) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.775 × |
47750 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and fifty |
| Binary (base 2) | 1011101010000110 |
| Octal (base 8) | 135206 |
| Hexadecimal (base 16) | BA86 |
| Base 3 | 2102111112 |
| As time | 47750 seconds = 13 h 15 min 50 s |
Is 47750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47750 ÷ 2 = 23875) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47750 ÷ 5 = 9550) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47750 ÷ 10 = 4775) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47750 a prime number?
No. 47750 = 2 × × 191, so it is divisible by 2.
What are the factors of 47750?
1, 2, 5, 10, 25, 50, 125, 191, 250, 382, 955, 1910, 4775, 9550, 23875, 47750.
What is 47750 in binary?
1011101010000110 (hexadecimal BA86, octal 135206).
What is the square root of 47750?
About 218.5177, exactly 5√1910.
Is 47750 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47750?
47750 is a happy number: repeatedly adding the squares of its digits reaches 1.