The number 40427
40427 is a twin prime (40427 and 40429 are both prime) and the 4238th prime number. Its only divisors are 1 and 40427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40427: a twin prime (40427 and 40429 are both prime); the 4238th prime number.
- 2
40427 is prime, so its only factors are 1 and 40427. It is the 4238th prime; the next prime is 40429 and the one before is 40423.
- 3
The divisors add up to 40428; without 40427 itself that is 1, so 40427 is deficient (1 is less than 40427). Euler's totient φ(40427) = 40426 numbers up to 40427 share no factor with it.
- 4
The digits of 40427 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 181 steps to reach 1.
40427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40428 |
| Euler totient φ(n) | 40426 |
| Square | 1634342329 |
| Cube | 66071557334483 |
| Square root | 201.064666 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0427 × |
40427 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and twenty-seven |
| Binary (base 2) | 1001110111101011 |
| Octal (base 8) | 116753 |
| Hexadecimal (base 16) | 9DEB |
| Base 3 | 2001110022 |
| As time | 40427 seconds = 11 h 13 min 47 s |
Is 40427 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40427 a prime number?
Yes. 40427 is divisible only by 1 and itself.
What are the factors of 40427?
1, 40427.
What is 40427 in binary?
1001110111101011 (hexadecimal 9DEB, octal 116753).
What is the square root of 40427?
About 201.0647.
Is 40427 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40427?
40427 is a twin prime (40427 and 40429 are both prime); the 4238th prime number.