The number 47075
47075 is a composite number with 12 divisors. Its prime factorisation is × 7 × 269. Divisors (12): 1, 5, 7, 25, 35, 175, 269, 1345, 1883, 6725, 9415, 47075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47075: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47075 is composite. Its prime factorisation is
- 3
The divisors add up to 66960; without 47075 itself that is 19885, so 47075 is deficient (19885 is less than 47075). Euler's totient φ(47075) = 32160 numbers up to 47075 share no factor with it.
- 4
The digits of 47075 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47075 = 5^{2} \times 7 \times 269 \]47075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 66960 |
| Euler totient φ(n) | 32160 |
| Square | 2216055625 |
| Cube | 104320818546875 |
| Square root | 216.967740 (= 5√1883) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7075 × |
47075 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and seventy-five |
| Binary (base 2) | 1011011111100011 |
| Octal (base 8) | 133743 |
| Hexadecimal (base 16) | B7E3 |
| Base 3 | 2101120112 |
| As time | 47075 seconds = 13 h 4 min 35 s |
Is 47075 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 (47075 ÷ 5 = 9415) | 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 | Yes (47075 ÷ 7 = 6725) | 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 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 6) | 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 47075 a prime number?
No. 47075 = × 7 × 269, so it is divisible by 5.
What are the factors of 47075?
1, 5, 7, 25, 35, 175, 269, 1345, 1883, 6725, 9415, 47075.
What is 47075 in binary?
1011011111100011 (hexadecimal B7E3, octal 133743).
What is the square root of 47075?
About 216.9677, exactly 5√1883.
Is 47075 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47075?
47075 is a happy number: repeatedly adding the squares of its digits reaches 1.