The number 40993
40993 is the 4291st prime number. Its only divisors are 1 and 40993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40993: the 4291st prime number.
- 2
40993 is prime, so its only factors are 1 and 40993. It is the 4291st prime; the next prime is 41011 and the one before is 40973.
- 3
The divisors add up to 40994; without 40993 itself that is 1, so 40993 is deficient (1 is less than 40993). Euler's totient φ(40993) = 40992 numbers up to 40993 share no factor with it.
- 4
The digits of 40993 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
40993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40994 |
| Euler totient φ(n) | 40992 |
| Square | 1680426049 |
| Cube | 68885705026657 |
| Square root | 202.467281 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.0993 × |
40993 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and ninety-three |
| Binary (base 2) | 1010000000100001 |
| Octal (base 8) | 120041 |
| Hexadecimal (base 16) | A021 |
| Base 3 | 2002020021 |
| As time | 40993 seconds = 11 h 23 min 13 s |
Is 40993 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 1) | 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 7) | 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 40993 a prime number?
Yes. 40993 is divisible only by 1 and itself.
What are the factors of 40993?
1, 40993.
What is 40993 in binary?
1010000000100001 (hexadecimal A021, octal 120041).
What is the square root of 40993?
About 202.4673.
Is 40993 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 40993?
40993 is the 4291st prime number.