The number 47790
47790 is a composite number with 40 divisors. Its prime factorisation is 2 × × 5 × 59. Divisors (40): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 59, 81, 90 … 47790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47790: a Harshad number: divisible by its digit sum 27.
- 2
47790 is composite. Its prime factorisation is
- 3
The divisors add up to 130680; without 47790 itself that is 82890, so 47790 is abundant (82890 is more than 47790). Euler's totient φ(47790) = 12528 numbers up to 47790 share no factor with it.
- 4
The digits of 47790 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47790 = 2 \times 3^{4} \times 5 \times 59 \]47790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 130680 |
| Euler totient φ(n) | 12528 |
| Square | 2283884100 |
| Cube | 109146821139000 |
| Square root | 218.609240 (= 9√590) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.779 × |
47790 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and ninety |
| Binary (base 2) | 1011101010101110 |
| Octal (base 8) | 135256 |
| Hexadecimal (base 16) | BAAE |
| Base 3 | 2102120000 |
| As time | 47790 seconds = 13 h 16 min 30 s |
Is 47790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47790 ÷ 2 = 23895) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47790 ÷ 3 = 15930) | 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 (47790 ÷ 5 = 9558) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47790 ÷ 6 = 7965) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (47790 ÷ 9 = 5310) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47790 ÷ 10 = 4779) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 47790 a prime number?
No. 47790 = 2 × × 5 × 59, so it is divisible by 2.
What are the factors of 47790?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 59, 81, 90, 118, 135, 162, 177, 270, 295, 354, 405, 531, 590, 810, 885, 1062, 1593, 1770, 2655, 3186, 4779, 5310, 7965, 9558, 15930, 23895, 47790.
What is 47790 in binary?
1011101010101110 (hexadecimal BAAE, octal 135256).
What is the square root of 47790?
About 218.6092, exactly 9√590.
Is 47790 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47790?
47790 is a Harshad number: divisible by its digit sum 27.