The number 42179
42179 is a twin prime (42179 and 42181 are both prime) and the 4408th prime number. Its only divisors are 1 and 42179.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42179: a twin prime (42179 and 42181 are both prime); the 4408th prime number.
- 2
42179 is prime, so its only factors are 1 and 42179. It is the 4408th prime; the next prime is 42181 and the one before is 42169.
- 3
The divisors add up to 42180; without 42179 itself that is 1, so 42179 is deficient (1 is less than 42179). Euler's totient φ(42179) = 42178 numbers up to 42179 share no factor with it.
- 4
The digits of 42179 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
42179 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42180 |
| Euler totient φ(n) | 42178 |
| Square | 1779068041 |
| Cube | 75039310901339 |
| Square root | 205.375266 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2179 × |
42179 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and seventy-nine |
| Binary (base 2) | 1010010011000011 |
| Octal (base 8) | 122303 |
| Hexadecimal (base 16) | A4C3 |
| Base 3 | 2010212012 |
| As time | 42179 seconds = 11 h 42 min 59 s |
Is 42179 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 4) | 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 5) | 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 5) | 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 42179 a prime number?
Yes. 42179 is divisible only by 1 and itself.
What are the factors of 42179?
1, 42179.
What is 42179 in binary?
1010010011000011 (hexadecimal A4C3, octal 122303).
What is the square root of 42179?
About 205.3753.
Is 42179 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42179?
42179 is a twin prime (42179 and 42181 are both prime); the 4408th prime number.