The number 42379
42379 is the 4430th prime number. Its only divisors are 1 and 42379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42379: the 4430th prime number.
- 2
42379 is prime, so its only factors are 1 and 42379. It is the 4430th prime; the next prime is 42391 and the one before is 42373.
- 3
The divisors add up to 42380; without 42379 itself that is 1, so 42379 is deficient (1 is less than 42379). Euler's totient φ(42379) = 42378 numbers up to 42379 share no factor with it.
- 4
The digits of 42379 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 132 steps to reach 1.
42379 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42380 |
| Euler totient φ(n) | 42378 |
| Square | 1795979641 |
| Cube | 76111821205939 |
| Square root | 205.861604 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2379 × |
42379 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and seventy-nine |
| Binary (base 2) | 1010010110001011 |
| Octal (base 8) | 122613 |
| Hexadecimal (base 16) | A58B |
| Base 3 | 2011010121 |
| As time | 42379 seconds = 11 h 46 min 19 s |
Is 42379 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42379 a prime number?
Yes. 42379 is divisible only by 1 and itself.
What are the factors of 42379?
1, 42379.
What is 42379 in binary?
1010010110001011 (hexadecimal A58B, octal 122613).
What is the square root of 42379?
About 205.8616.
Is 42379 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42379?
42379 is the 4430th prime number.