The number 40193
40193 is the 4223rd prime number. Its only divisors are 1 and 40193.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40193: the 4223rd prime number.
- 2
40193 is prime, so its only factors are 1 and 40193. It is the 4223rd prime; the next prime is 40213 and the one before is 40189.
- 3
The divisors add up to 40194; without 40193 itself that is 1, so 40193 is deficient (1 is less than 40193). Euler's totient φ(40193) = 40192 numbers up to 40193 share no factor with it.
- 4
The digits of 40193 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
40193 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40194 |
| Euler totient φ(n) | 40192 |
| Square | 1615477249 |
| Cube | 64930877069057 |
| Square root | 200.481919 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0193 × |
40193 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and ninety-three |
| Binary (base 2) | 1001110100000001 |
| Octal (base 8) | 116401 |
| Hexadecimal (base 16) | 9D01 |
| Base 3 | 2001010122 |
| As time | 40193 seconds = 11 h 9 min 53 s |
Is 40193 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 6) | 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 8) | 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 10) | 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 40193 a prime number?
Yes. 40193 is divisible only by 1 and itself.
What are the factors of 40193?
1, 40193.
What is 40193 in binary?
1001110100000001 (hexadecimal 9D01, octal 116401).
What is the square root of 40193?
About 200.4819.
Is 40193 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40193?
40193 is the 4223rd prime number.