The number 47827
47827 is a composite number with 6 divisors. Its prime factorisation is Ć 283. Divisors (6): 1, 13, 169, 283, 3679, 47827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47827 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47827 is composite. Its prime factorisation is
- 3
The divisors add up to 51972; without 47827 itself that is 4145, so 47827 is deficient (4145 is less than 47827). Euler's totient Ļ(47827) = 43992 numbers up to 47827 share no factor with it.
- 4
The digits of 47827 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47827 = 13^{2} \times 283 \]47827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 51972 |
| Euler totient Ļ(n) | 43992 |
| Square | 2287421929 |
| Cube | 109400528598283 |
| Square root | 218.693850 (= 13ā283) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7827 Ć |
47827 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and twenty-seven |
| Binary (base 2) | 1011101011010011 |
| Octal (base 8) | 135323 |
| Hexadecimal (base 16) | BAD3 |
| Base 3 | 2102121101 |
| As time | 47827 seconds = 13 h 17 min 7 s |
Is 47827 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47827 a prime number?
No. 47827 = Ć 283, so it is divisible by 13.
What are the factors of 47827?
1, 13, 169, 283, 3679, 47827.
What is 47827 in binary?
1011101011010011 (hexadecimal BAD3, octal 135323).
What is the square root of 47827?
About 218.6938, exactly 13ā283.
Is 47827 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47827?
It is a composite number with 6 divisors.