The number 47655
47655 is a composite number with 16 divisors. Its prime factorisation is × 5 × 353. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 353, 1059, 1765, 3177, 5295, 9531, 15885, 47655.
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How to work it out
- 1
What is special about 47655: a Harshad number: divisible by its digit sum 27.
- 2
47655 is composite. Its prime factorisation is
- 3
The divisors add up to 84960; without 47655 itself that is 37305, so 47655 is deficient (37305 is less than 47655). Euler's totient φ(47655) = 25344 numbers up to 47655 share no factor with it.
- 4
The digits of 47655 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47655 = 3^{3} \times 5 \times 353 \]47655 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 84960 |
| Euler totient φ(n) | 25344 |
| Square | 2270999025 |
| Cube | 108224458536375 |
| Square root | 218.300252 (= 3√5295) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7655 × |
47655 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and fifty-five |
| Binary (base 2) | 1011101000100111 |
| Octal (base 8) | 135047 |
| Hexadecimal (base 16) | BA27 |
| Base 3 | 2102101000 |
| As time | 47655 seconds = 13 h 14 min 15 s |
Is 47655 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 | Yes (47655 ÷ 3 = 15885) | 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 (47655 ÷ 5 = 9531) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (47655 ÷ 9 = 5295) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47655 a prime number?
No. 47655 = × 5 × 353, so it is divisible by 3.
What are the factors of 47655?
1, 3, 5, 9, 15, 27, 45, 135, 353, 1059, 1765, 3177, 5295, 9531, 15885, 47655.
What is 47655 in binary?
1011101000100111 (hexadecimal BA27, octal 135047).
What is the square root of 47655?
About 218.3003, exactly 3√5295.
Is 47655 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47655?
47655 is a Harshad number: divisible by its digit sum 27.