The number 42461
42461 is a twin prime (42461 and 42463 are both prime) and the 4441st prime number. Its only divisors are 1 and 42461.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42461: a twin prime (42461 and 42463 are both prime); the 4441st prime number.
- 2
42461 is prime, so its only factors are 1 and 42461. It is the 4441st prime; the next prime is 42463 and the one before is 42457.
- 3
The divisors add up to 42462; without 42461 itself that is 1, so 42461 is deficient (1 is less than 42461). Euler's totient φ(42461) = 42460 numbers up to 42461 share no factor with it.
- 4
The digits of 42461 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 150 steps to reach 1.
42461 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42462 |
| Euler totient φ(n) | 42460 |
| Square | 1802936521 |
| Cube | 76554487618181 |
| Square root | 206.060671 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2461 × |
42461 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixty-one |
| Binary (base 2) | 1010010111011101 |
| Octal (base 8) | 122735 |
| Hexadecimal (base 16) | A5DD |
| Base 3 | 2011020122 |
| As time | 42461 seconds = 11 h 47 min 41 s |
Is 42461 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 6) | 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 5) | 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 1) | 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 42461 a prime number?
Yes. 42461 is divisible only by 1 and itself.
What are the factors of 42461?
1, 42461.
What is 42461 in binary?
1010010111011101 (hexadecimal A5DD, octal 122735).
What is the square root of 42461?
About 206.0607.
Is 42461 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42461?
42461 is a twin prime (42461 and 42463 are both prime); the 4441st prime number.