The number 40423
40423 is the 4237th prime number. Its only divisors are 1 and 40423.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40423: the 4237th prime number.
- 2
40423 is prime, so its only factors are 1 and 40423. It is the 4237th prime; the next prime is 40427 and the one before is 40387.
- 3
The divisors add up to 40424; without 40423 itself that is 1, so 40423 is deficient (1 is less than 40423). Euler's totient φ(40423) = 40422 numbers up to 40423 share no factor with it.
- 4
The digits of 40423 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
40423 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40424 |
| Euler totient φ(n) | 40422 |
| Square | 1634018929 |
| Cube | 66051947166967 |
| Square root | 201.054719 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0423 × |
40423 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and twenty-three |
| Binary (base 2) | 1001110111100111 |
| Octal (base 8) | 116747 |
| Hexadecimal (base 16) | 9DE7 |
| Base 3 | 2001110011 |
| As time | 40423 seconds = 11 h 13 min 43 s |
Is 40423 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 3) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40423 a prime number?
Yes. 40423 is divisible only by 1 and itself.
What are the factors of 40423?
1, 40423.
What is 40423 in binary?
1001110111100111 (hexadecimal 9DE7, octal 116747).
What is the square root of 40423?
About 201.0547.
Is 40423 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40423?
40423 is the 4237th prime number.