The number 42187
42187 is the 4410th prime number. Its only divisors are 1 and 42187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42187: the 4410th prime number.
- 2
42187 is prime, so its only factors are 1 and 42187. It is the 4410th prime; the next prime is 42193 and the one before is 42181.
- 3
The divisors add up to 42188; without 42187 itself that is 1, so 42187 is deficient (1 is less than 42187). Euler's totient φ(42187) = 42186 numbers up to 42187 share no factor with it.
- 4
The digits of 42187 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 80 steps to reach 1.
42187 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42188 |
| Euler totient φ(n) | 42186 |
| Square | 1779742969 |
| Cube | 75082016633203 |
| Square root | 205.394742 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2187 × |
42187 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eighty-seven |
| Binary (base 2) | 1010010011001011 |
| Octal (base 8) | 122313 |
| Hexadecimal (base 16) | A4CB |
| Base 3 | 2010212111 |
| As time | 42187 seconds = 11 h 43 min 7 s |
Is 42187 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 2) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 42187 a prime number?
Yes. 42187 is divisible only by 1 and itself.
What are the factors of 42187?
1, 42187.
What is 42187 in binary?
1010010011001011 (hexadecimal A4CB, octal 122313).
What is the square root of 42187?
About 205.3947.
Is 42187 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42187?
42187 is the 4410th prime number.