The number 40429
40429 is a twin prime (40427 and 40429 are both prime) and the 4239th prime number. Its only divisors are 1 and 40429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40429: a twin prime (40427 and 40429 are both prime); the 4239th prime number.
- 2
40429 is prime, so its only factors are 1 and 40429. It is the 4239th prime; the next prime is 40433 and the one before is 40427.
- 3
The divisors add up to 40430; without 40429 itself that is 1, so 40429 is deficient (1 is less than 40429). Euler's totient φ(40429) = 40428 numbers up to 40429 share no factor with it.
- 4
The digits of 40429 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
40429 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40430 |
| Euler totient φ(n) | 40428 |
| Square | 1634504041 |
| Cube | 66081363873589 |
| Square root | 201.069640 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0429 × |
40429 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and twenty-nine |
| Binary (base 2) | 1001110111101101 |
| Octal (base 8) | 116755 |
| Hexadecimal (base 16) | 9DED |
| Base 3 | 2001110101 |
| As time | 40429 seconds = 11 h 13 min 49 s |
Is 40429 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 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 40429 a prime number?
Yes. 40429 is divisible only by 1 and itself.
What are the factors of 40429?
1, 40429.
What is 40429 in binary?
1001110111101101 (hexadecimal 9DED, octal 116755).
What is the square root of 40429?
About 201.0696.
Is 40429 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40429?
40429 is a twin prime (40427 and 40429 are both prime); the 4239th prime number.