The number 47089
47089 is a perfect square (217²). Its prime factorisation is × . Divisors (9): 1, 7, 31, 49, 217, 961, 1519, 6727, 47089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47089: a perfect square (217²).
- 2
47089 is composite. Its prime factorisation is
- 3
The divisors add up to 56601; without 47089 itself that is 9512, so 47089 is deficient (9512 is less than 47089). Euler's totient φ(47089) = 39060 numbers up to 47089 share no factor with it.
- 4
The digits of 47089 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47089 = 7^{2} \times 31^{2} \]47089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 56601 |
| Euler totient φ(n) | 39060 |
| Square | 2217373921 |
| Cube | 104413920565969 |
| Square root | 217 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7089 × |
| Perfect power |
47089 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and eighty-nine |
| Binary (base 2) | 1011011111110001 |
| Octal (base 8) | 133761 |
| Hexadecimal (base 16) | B7F1 |
| Base 3 | 2101121001 |
| As time | 47089 seconds = 13 h 4 min 49 s |
Is 47089 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47089 ÷ 7 = 6727) | 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 | No (remainder 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47089 a prime number?
No. 47089 = × , so it is divisible by 7.
What are the factors of 47089?
1, 7, 31, 49, 217, 961, 1519, 6727, 47089.
What is 47089 in binary?
1011011111110001 (hexadecimal B7F1, octal 133761).
What is the square root of 47089?
217, because 217 × 217 = 47089.
Is 47089 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47089?
47089 is a perfect square (217²).