The number 42841
42841 is a twin prime (42839 and 42841 are both prime) and the 4480th prime number. Its only divisors are 1 and 42841.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42841: a twin prime (42839 and 42841 are both prime); the 4480th prime number.
- 2
42841 is prime, so its only factors are 1 and 42841. It is the 4480th prime; the next prime is 42853 and the one before is 42839.
- 3
The divisors add up to 42842; without 42841 itself that is 1, so 42841 is deficient (1 is less than 42841). Euler's totient φ(42841) = 42840 numbers up to 42841 share no factor with it.
- 4
The digits of 42841 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
42841 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42842 |
| Euler totient φ(n) | 42840 |
| Square | 1835351281 |
| Cube | 78628284229321 |
| Square root | 206.980675 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2841 × |
42841 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and forty-one |
| Binary (base 2) | 1010011101011001 |
| Octal (base 8) | 123531 |
| Hexadecimal (base 16) | A759 |
| Base 3 | 2011202201 |
| As time | 42841 seconds = 11 h 54 min 1 s |
Is 42841 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42841 a prime number?
Yes. 42841 is divisible only by 1 and itself.
What are the factors of 42841?
1, 42841.
What is 42841 in binary?
1010011101011001 (hexadecimal A759, octal 123531).
What is the square root of 42841?
About 206.9807.
Is 42841 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42841?
42841 is a twin prime (42839 and 42841 are both prime); the 4480th prime number.