The number 47828
47828 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1087. Divisors (12): 1, 2, 4, 11, 22, 44, 1087, 2174, 4348, 11957, 23914, 47828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47828 is composite. Its prime factorisation is
- 3
The divisors add up to 91392; without 47828 itself that is 43564, so 47828 is deficient (43564 is less than 47828). Euler's totient φ(47828) = 21720 numbers up to 47828 share no factor with it.
- 4
The digits of 47828 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47828 = 2^{2} \times 11 \times 1087 \]47828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91392 |
| Euler totient φ(n) | 21720 |
| Square | 2287517584 |
| Cube | 109407391007552 |
| Square root | 218.696136 (= 2√11957) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7828 × |
47828 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and twenty-eight |
| Binary (base 2) | 1011101011010100 |
| Octal (base 8) | 135324 |
| Hexadecimal (base 16) | BAD4 |
| Base 3 | 2102121102 |
| As time | 47828 seconds = 13 h 17 min 8 s |
Is 47828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47828 ÷ 2 = 23914) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47828 ÷ 4 = 11957) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (47828 ÷ 11 = 4348) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47828 a prime number?
No. 47828 = × 11 × 1087, so it is divisible by 2.
What are the factors of 47828?
1, 2, 4, 11, 22, 44, 1087, 2174, 4348, 11957, 23914, 47828.
What is 47828 in binary?
1011101011010100 (hexadecimal BAD4, octal 135324).
What is the square root of 47828?
About 218.6961, exactly 2√11957.
Is 47828 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47828?
It is a composite number with 12 divisors.