The number 43093
43093 is the 4503rd prime number. Its only divisors are 1 and 43093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43093: the 4503rd prime number.
- 2
43093 is prime, so its only factors are 1 and 43093. It is the 4503rd prime; the next prime is 43103 and the one before is 43067.
- 3
The divisors add up to 43094; without 43093 itself that is 1, so 43093 is deficient (1 is less than 43093). Euler's totient φ(43093) = 43092 numbers up to 43093 share no factor with it.
- 4
The digits of 43093 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
43093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 43094 |
| Euler totient φ(n) | 43092 |
| Square | 1857006649 |
| Cube | 80023987525357 |
| Square root | 207.588535 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3093 × |
43093 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and ninety-three |
| Binary (base 2) | 1010100001010101 |
| Octal (base 8) | 124125 |
| Hexadecimal (base 16) | A855 |
| Base 3 | 2012010001 |
| As time | 43093 seconds = 11 h 58 min 13 s |
Is 43093 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 3) | 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 1) | 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 1) | 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 6) | 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 43093 a prime number?
Yes. 43093 is divisible only by 1 and itself.
What are the factors of 43093?
1, 43093.
What is 43093 in binary?
1010100001010101 (hexadecimal A855, octal 124125).
What is the square root of 43093?
About 207.5885.
Is 43093 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 43093?
43093 is the 4503rd prime number.