The number 47889
47889 is a composite number with 12 divisors. Its prime factorisation is × 17 × 313. Divisors (12): 1, 3, 9, 17, 51, 153, 313, 939, 2817, 5321, 15963, 47889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47889 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47889 is composite. Its prime factorisation is
- 3
The divisors add up to 73476; without 47889 itself that is 25587, so 47889 is deficient (25587 is less than 47889). Euler's totient φ(47889) = 29952 numbers up to 47889 share no factor with it.
- 4
The digits of 47889 add up to 36, 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
\[ 47889 = 3^{2} \times 17 \times 313 \]47889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73476 |
| Euler totient φ(n) | 29952 |
| Square | 2293356321 |
| Cube | 109826540856369 |
| Square root | 218.835555 (= 3√5321) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7889 × |
47889 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and eighty-nine |
| Binary (base 2) | 1011101100010001 |
| Octal (base 8) | 135421 |
| Hexadecimal (base 16) | BB11 |
| Base 3 | 2102200200 |
| As time | 47889 seconds = 13 h 18 min 9 s |
Is 47889 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 | Yes (47889 ÷ 3 = 15963) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47889 ÷ 9 = 5321) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47889 a prime number?
No. 47889 = × 17 × 313, so it is divisible by 3.
What are the factors of 47889?
1, 3, 9, 17, 51, 153, 313, 939, 2817, 5321, 15963, 47889.
What is 47889 in binary?
1011101100010001 (hexadecimal BB11, octal 135421).
What is the square root of 47889?
About 218.8356, exactly 3√5321.
Is 47889 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 47889?
It is a composite number with 12 divisors.