The number 47093
47093 is the 4858th prime number. Its only divisors are 1 and 47093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47093: the 4858th prime number.
- 2
47093 is prime, so its only factors are 1 and 47093. It is the 4858th prime; the next prime is 47111 and the one before is 47087.
- 3
The divisors add up to 47094; without 47093 itself that is 1, so 47093 is deficient (1 is less than 47093). Euler's totient φ(47093) = 47092 numbers up to 47093 share no factor with it.
- 4
The digits of 47093 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
47093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47094 |
| Euler totient φ(n) | 47092 |
| Square | 2217750649 |
| Cube | 104440531313357 |
| Square root | 217.009216 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7093 × |
47093 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and ninety-three |
| Binary (base 2) | 1011011111110101 |
| Octal (base 8) | 133765 |
| Hexadecimal (base 16) | B7F5 |
| Base 3 | 2101121012 |
| As time | 47093 seconds = 13 h 4 min 53 s |
Is 47093 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47093 a prime number?
Yes. 47093 is divisible only by 1 and itself.
What are the factors of 47093?
1, 47093.
What is 47093 in binary?
1011011111110101 (hexadecimal B7F5, octal 133765).
What is the square root of 47093?
About 217.0092.
Is 47093 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47093?
47093 is the 4858th prime number.