The number 42349
42349 is the 4427th prime number. Its only divisors are 1 and 42349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42349: the 4427th prime number.
- 2
42349 is prime, so its only factors are 1 and 42349. It is the 4427th prime; the next prime is 42359 and the one before is 42337.
- 3
The divisors add up to 42350; without 42349 itself that is 1, so 42349 is deficient (1 is less than 42349). Euler's totient φ(42349) = 42348 numbers up to 42349 share no factor with it.
- 4
The digits of 42349 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
42349 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42350 |
| Euler totient φ(n) | 42348 |
| Square | 1793437801 |
| Cube | 75950297434549 |
| Square root | 205.788727 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2349 × |
42349 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and forty-nine |
| Binary (base 2) | 1010010101101101 |
| Octal (base 8) | 122555 |
| Hexadecimal (base 16) | A56D |
| Base 3 | 2011002111 |
| As time | 42349 seconds = 11 h 45 min 49 s |
Is 42349 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 6) | 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 4) | 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 10) | 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 42349 a prime number?
Yes. 42349 is divisible only by 1 and itself.
What are the factors of 42349?
1, 42349.
What is 42349 in binary?
1010010101101101 (hexadecimal A56D, octal 122555).
What is the square root of 42349?
About 205.7887.
Is 42349 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42349?
42349 is the 4427th prime number.