The number 47928
47928 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1997. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1997, 3994, 5991, 7988, 11982, 15976, 23964, 47928.
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How to work it out
- 1
47928 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47928 is composite. Its prime factorisation is
- 3
The divisors add up to 119880; without 47928 itself that is 71952, so 47928 is abundant (71952 is more than 47928). Euler's totient φ(47928) = 15968 numbers up to 47928 share no factor with it.
- 4
The digits of 47928 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47928 = 2^{3} \times 3 \times 1997 \]47928 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 119880 |
| Euler totient φ(n) | 15968 |
| Square | 2297093184 |
| Cube | 110095082122752 |
| Square root | 218.924645 (= 2√11982) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7928 × |
47928 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and twenty-eight |
| Binary (base 2) | 1011101100111000 |
| Octal (base 8) | 135470 |
| Hexadecimal (base 16) | BB38 |
| Base 3 | 2102202010 |
| As time | 47928 seconds = 13 h 18 min 48 s |
Is 47928 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47928 ÷ 2 = 23964) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47928 ÷ 3 = 15976) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47928 ÷ 4 = 11982) | 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 (47928 ÷ 6 = 7988) | 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 (47928 ÷ 8 = 5991) | 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 | No (remainder 8) | 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 | Yes (47928 ÷ 12 = 3994) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47928 a prime number?
No. 47928 = × 3 × 1997, so it is divisible by 2.
What are the factors of 47928?
1, 2, 3, 4, 6, 8, 12, 24, 1997, 3994, 5991, 7988, 11982, 15976, 23964, 47928.
What is 47928 in binary?
1011101100111000 (hexadecimal BB38, octal 135470).
What is the square root of 47928?
About 218.9246, exactly 2√11982.
Is 47928 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47928?
It is a composite number with 16 divisors.