The number 42929
42929 is the 4487th prime number. Its only divisors are 1 and 42929.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42929: the 4487th prime number.
- 2
42929 is prime, so its only factors are 1 and 42929. It is the 4487th prime; the next prime is 42937 and the one before is 42923.
- 3
The divisors add up to 42930; without 42929 itself that is 1, so 42929 is deficient (1 is less than 42929). Euler's totient φ(42929) = 42928 numbers up to 42929 share no factor with it.
- 4
The digits of 42929 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
42929 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42930 |
| Euler totient φ(n) | 42928 |
| Square | 1842899041 |
| Cube | 79113812931089 |
| Square root | 207.193147 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2929 × |
42929 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and twenty-nine |
| Binary (base 2) | 1010011110110001 |
| Octal (base 8) | 123661 |
| Hexadecimal (base 16) | A7B1 |
| Base 3 | 2011212222 |
| As time | 42929 seconds = 11 h 55 min 29 s |
Is 42929 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 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 5) | 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 1) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42929 a prime number?
Yes. 42929 is divisible only by 1 and itself.
What are the factors of 42929?
1, 42929.
What is 42929 in binary?
1010011110110001 (hexadecimal A7B1, octal 123661).
What is the square root of 42929?
About 207.1931.
Is 42929 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42929?
42929 is the 4487th prime number.