The number 42641
42641 is a twin prime (42641 and 42643 are both prime) and the 4456th prime number. Its only divisors are 1 and 42641.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42641: a twin prime (42641 and 42643 are both prime); the 4456th prime number.
- 2
42641 is prime, so its only factors are 1 and 42641. It is the 4456th prime; the next prime is 42643 and the one before is 42611.
- 3
The divisors add up to 42642; without 42641 itself that is 1, so 42641 is deficient (1 is less than 42641). Euler's totient φ(42641) = 42640 numbers up to 42641 share no factor with it.
- 4
The digits of 42641 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
42641 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42642 |
| Euler totient φ(n) | 42640 |
| Square | 1818254881 |
| Cube | 77532206380721 |
| Square root | 206.496973 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2641 × |
42641 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and forty-one |
| Binary (base 2) | 1010011010010001 |
| Octal (base 8) | 123221 |
| Hexadecimal (base 16) | A691 |
| Base 3 | 2011111022 |
| As time | 42641 seconds = 11 h 50 min 41 s |
Is 42641 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 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42641 a prime number?
Yes. 42641 is divisible only by 1 and itself.
What are the factors of 42641?
1, 42641.
What is 42641 in binary?
1010011010010001 (hexadecimal A691, octal 123221).
What is the square root of 42641?
About 206.4970.
Is 42641 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42641?
42641 is a twin prime (42641 and 42643 are both prime); the 4456th prime number.