The number 40093
40093 is the 4211th prime number. Its only divisors are 1 and 40093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40093: the 4211th prime number.
- 2
40093 is prime, so its only factors are 1 and 40093. It is the 4211th prime; the next prime is 40099 and the one before is 40087.
- 3
The divisors add up to 40094; without 40093 itself that is 1, so 40093 is deficient (1 is less than 40093). Euler's totient φ(40093) = 40092 numbers up to 40093 share no factor with it.
- 4
The digits of 40093 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
40093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40094 |
| Euler totient φ(n) | 40092 |
| Square | 1607448649 |
| Cube | 64447438684357 |
| Square root | 200.232365 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0093 × |
40093 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and ninety-three |
| Binary (base 2) | 1001110010011101 |
| Octal (base 8) | 116235 |
| Hexadecimal (base 16) | 9C9D |
| Base 3 | 2000222221 |
| As time | 40093 seconds = 11 h 8 min 13 s |
Is 40093 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 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 7) | 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 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 40093 a prime number?
Yes. 40093 is divisible only by 1 and itself.
What are the factors of 40093?
1, 40093.
What is 40093 in binary?
1001110010011101 (hexadecimal 9C9D, octal 116235).
What is the square root of 40093?
About 200.2324.
Is 40093 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40093?
40093 is the 4211th prime number.