The number 42829
42829 is the 4478th prime number. Its only divisors are 1 and 42829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42829: the 4478th prime number.
- 2
42829 is prime, so its only factors are 1 and 42829. It is the 4478th prime; the next prime is 42839 and the one before is 42821.
- 3
The divisors add up to 42830; without 42829 itself that is 1, so 42829 is deficient (1 is less than 42829). Euler's totient φ(42829) = 42828 numbers up to 42829 share no factor with it.
- 4
The digits of 42829 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 49 steps to reach 1.
42829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42830 |
| Euler totient φ(n) | 42828 |
| Square | 1834323241 |
| Cube | 78562230088789 |
| Square root | 206.951685 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2829 × |
42829 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and twenty-nine |
| Binary (base 2) | 1010011101001101 |
| Octal (base 8) | 123515 |
| Hexadecimal (base 16) | A74D |
| Base 3 | 2011202021 |
| As time | 42829 seconds = 11 h 53 min 49 s |
Is 42829 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 3) | 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 7) | 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 6) | 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 42829 a prime number?
Yes. 42829 is divisible only by 1 and itself.
What are the factors of 42829?
1, 42829.
What is 42829 in binary?
1010011101001101 (hexadecimal A74D, octal 123515).
What is the square root of 42829?
About 206.9517.
Is 42829 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42829?
42829 is the 4478th prime number.