The number 47355
47355 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 11 × 41. Divisors (32): 1, 3, 5, 7, 11, 15, 21, 33, 35, 41, 55, 77, 105, 123, 165, 205 … 47355.
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How to work it out
- 1
47355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47355 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 47355 itself that is 49413, so 47355 is abundant (49413 is more than 47355). Euler's totient φ(47355) = 19200 numbers up to 47355 share no factor with it.
- 4
The digits of 47355 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47355 = 3 \times 5 \times 7 \times 11 \times 41 \]
47355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 19200 |
| Square | 2242496025 |
| Cube | 106193399263875 |
| Square root | 217.612040 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7355 × |
47355 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and fifty-five |
| Binary (base 2) | 1011100011111011 |
| Octal (base 8) | 134373 |
| Hexadecimal (base 16) | B8FB |
| Base 3 | 2101221220 |
| As time | 47355 seconds = 13 h 9 min 15 s |
Is 47355 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 (47355 ÷ 3 = 15785) | 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 (47355 ÷ 5 = 9471) | 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 | Yes (47355 ÷ 7 = 6765) | 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 6) | 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 | Yes (47355 ÷ 11 = 4305) | 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 47355 a prime number?
No. 47355 = 3 × 5 × 7 × 11 × 41, so it is divisible by 3.
What are the factors of 47355?
1, 3, 5, 7, 11, 15, 21, 33, 35, 41, 55, 77, 105, 123, 165, 205, 231, 287, 385, 451, 615, 861, 1155, 1353, 1435, 2255, 3157, 4305, 6765, 9471, 15785, 47355.
What is 47355 in binary?
1011100011111011 (hexadecimal B8FB, octal 134373).
What is the square root of 47355?
About 217.6120.
Is 47355 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47355?
It is a composite number with 32 divisors.