The number 47705
47705 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 29 × 47. Divisors (16): 1, 5, 7, 29, 35, 47, 145, 203, 235, 329, 1015, 1363, 1645, 6815, 9541, 47705.
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How to work it out
- 1
What is special about 47705: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47705 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 47705 itself that is 21415, so 47705 is deficient (21415 is less than 47705). Euler's totient φ(47705) = 30912 numbers up to 47705 share no factor with it.
- 4
The digits of 47705 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47705 = 5 \times 7 \times 29 \times 47 \]
47705 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 30912 |
| Square | 2275767025 |
| Cube | 108565465927625 |
| Square root | 218.414743 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7705 × |
47705 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and five |
| Binary (base 2) | 1011101001011001 |
| Octal (base 8) | 135131 |
| Hexadecimal (base 16) | BA59 |
| Base 3 | 2102102212 |
| As time | 47705 seconds = 13 h 15 min 5 s |
Is 47705 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47705 ÷ 5 = 9541) | 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 (47705 ÷ 7 = 6815) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47705 a prime number?
No. 47705 = 5 × 7 × 29 × 47, so it is divisible by 5.
What are the factors of 47705?
1, 5, 7, 29, 35, 47, 145, 203, 235, 329, 1015, 1363, 1645, 6815, 9541, 47705.
What is 47705 in binary?
1011101001011001 (hexadecimal BA59, octal 135131).
What is the square root of 47705?
About 218.4147.
Is 47705 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47705?
47705 is a happy number: repeatedly adding the squares of its digits reaches 1.