The number 47430
47430 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 17 × 31. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 31, 34, 45, 51, 62 … 47430.
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How to work it out
- 1
What is special about 47430: a Harshad number: divisible by its digit sum 18.
- 2
47430 is composite. Its prime factorisation is
- 3
The divisors add up to 134784; without 47430 itself that is 87354, so 47430 is abundant (87354 is more than 47430). Euler's totient φ(47430) = 11520 numbers up to 47430 share no factor with it.
- 4
The digits of 47430 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47430 = 2 \times 3^{2} \times 5 \times 17 \times 31 \]47430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 134784 |
| Euler totient φ(n) | 11520 |
| Square | 2249604900 |
| Cube | 106698760407000 |
| Square root | 217.784297 (= 3√5270) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.743 × |
47430 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and thirty |
| Binary (base 2) | 1011100101000110 |
| Octal (base 8) | 134506 |
| Hexadecimal (base 16) | B946 |
| Base 3 | 2102001200 |
| As time | 47430 seconds = 13 h 10 min 30 s |
Is 47430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47430 ÷ 2 = 23715) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47430 ÷ 3 = 15810) | 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 (47430 ÷ 5 = 9486) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47430 ÷ 6 = 7905) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47430 ÷ 9 = 5270) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47430 ÷ 10 = 4743) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47430 a prime number?
No. 47430 = 2 × × 5 × 17 × 31, so it is divisible by 2.
What are the factors of 47430?
1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 31, 34, 45, 51, 62, 85, 90, 93, 102, 153, 155, 170, 186, 255, 279, 306, 310, 465, 510, 527, 558, 765, 930, 1054, 1395, 1530, 1581, 2635, 2790, 3162, 4743, 5270, 7905, 9486, 15810, 23715, 47430.
What is 47430 in binary?
1011100101000110 (hexadecimal B946, octal 134506).
What is the square root of 47430?
About 217.7843, exactly 3√5270.
Is 47430 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47430?
47430 is a Harshad number: divisible by its digit sum 18.