The number 42299
42299 is the 4422nd prime number. Its only divisors are 1 and 42299.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42299: the 4422nd prime number.
- 2
42299 is prime, so its only factors are 1 and 42299. It is the 4422nd prime; the next prime is 42307 and the one before is 42293.
- 3
The divisors add up to 42300; without 42299 itself that is 1, so 42299 is deficient (1 is less than 42299). Euler's totient φ(42299) = 42298 numbers up to 42299 share no factor with it.
- 4
The digits of 42299 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 106 steps to reach 1.
42299 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42300 |
| Euler totient φ(n) | 42298 |
| Square | 1789205401 |
| Cube | 75681599256899 |
| Square root | 205.667207 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2299 × |
42299 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and ninety-nine |
| Binary (base 2) | 1010010100111011 |
| Octal (base 8) | 122473 |
| Hexadecimal (base 16) | A53B |
| Base 3 | 2011000122 |
| As time | 42299 seconds = 11 h 44 min 59 s |
Is 42299 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 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 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 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42299 a prime number?
Yes. 42299 is divisible only by 1 and itself.
What are the factors of 42299?
1, 42299.
What is 42299 in binary?
1010010100111011 (hexadecimal A53B, octal 122473).
What is the square root of 42299?
About 205.6672.
Is 42299 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42299?
42299 is the 4422nd prime number.