The number 47088
47088 is a composite number with 40 divisors. Its prime factorisation is × × 109. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72 … 47088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47088: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
47088 is composite. Its prime factorisation is
- 3
The divisors add up to 136400; without 47088 itself that is 89312, so 47088 is abundant (89312 is more than 47088). Euler's totient φ(47088) = 15552 numbers up to 47088 share no factor with it.
- 4
The digits of 47088 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47088 = 2^{4} \times 3^{3} \times 109 \]47088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 136400 |
| Euler totient φ(n) | 15552 |
| Square | 2217279744 |
| Cube | 104407268585472 |
| Square root | 216.997696 (= 12√327) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7088 × |
47088 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and eighty-eight |
| Binary (base 2) | 1011011111110000 |
| Octal (base 8) | 133760 |
| Hexadecimal (base 16) | B7F0 |
| Base 3 | 2101121000 |
| As time | 47088 seconds = 13 h 4 min 48 s |
Is 47088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47088 ÷ 2 = 23544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47088 ÷ 3 = 15696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47088 ÷ 4 = 11772) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47088 ÷ 6 = 7848) | 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 | Yes (47088 ÷ 8 = 5886) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47088 ÷ 9 = 5232) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47088 ÷ 12 = 3924) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47088 a prime number?
No. 47088 = × × 109, so it is divisible by 2.
What are the factors of 47088?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 109, 144, 216, 218, 327, 432, 436, 654, 872, 981, 1308, 1744, 1962, 2616, 2943, 3924, 5232, 5886, 7848, 11772, 15696, 23544, 47088.
What is 47088 in binary?
1011011111110000 (hexadecimal B7F0, octal 133760).
What is the square root of 47088?
About 216.9977, exactly 12√327.
Is 47088 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47088?
47088 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.