The number 47730
47730 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 37 × 43. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 30, 37, 43, 74, 86, 111, 129, 185, 215 … 47730.
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How to work it out
- 1
47730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47730 is composite. Its prime factorisation is
- 3
The divisors add up to 120384; without 47730 itself that is 72654, so 47730 is abundant (72654 is more than 47730). Euler's totient φ(47730) = 12096 numbers up to 47730 share no factor with it.
- 4
The digits of 47730 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47730 = 2 \times 3 \times 5 \times 37 \times 43 \]
47730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120384 |
| Euler totient φ(n) | 12096 |
| Square | 2278152900 |
| Cube | 108736237917000 |
| Square root | 218.471966 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.773 × |
47730 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and thirty |
| Binary (base 2) | 1011101001110010 |
| Octal (base 8) | 135162 |
| Hexadecimal (base 16) | BA72 |
| Base 3 | 2102110210 |
| As time | 47730 seconds = 13 h 15 min 30 s |
Is 47730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47730 ÷ 2 = 23865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47730 ÷ 3 = 15910) | 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 (47730 ÷ 5 = 9546) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47730 ÷ 6 = 7955) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47730 ÷ 10 = 4773) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47730 a prime number?
No. 47730 = 2 × 3 × 5 × 37 × 43, so it is divisible by 2.
What are the factors of 47730?
1, 2, 3, 5, 6, 10, 15, 30, 37, 43, 74, 86, 111, 129, 185, 215, 222, 258, 370, 430, 555, 645, 1110, 1290, 1591, 3182, 4773, 7955, 9546, 15910, 23865, 47730.
What is 47730 in binary?
1011101001110010 (hexadecimal BA72, octal 135162).
What is the square root of 47730?
About 218.4720.
Is 47730 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47730?
It is a composite number with 32 divisors.