The number 46771
46771 is a twin prime (46769 and 46771 are both prime) and the 4834th prime number. Its only divisors are 1 and 46771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46771: a twin prime (46769 and 46771 are both prime); the 4834th prime number.
- 2
46771 is prime, so its only factors are 1 and 46771. It is the 4834th prime; the next prime is 46807 and the one before is 46769.
- 3
The divisors add up to 46772; without 46771 itself that is 1, so 46771 is deficient (1 is less than 46771). Euler's totient φ(46771) = 46770 numbers up to 46771 share no factor with it.
- 4
The digits of 46771 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
46771 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46772 |
| Euler totient φ(n) | 46770 |
| Square | 2187526441 |
| Cube | 102312799172011 |
| Square root | 216.266040 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6771 × |
46771 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and seventy-one |
| Binary (base 2) | 1011011010110011 |
| Octal (base 8) | 133263 |
| Hexadecimal (base 16) | B6B3 |
| Base 3 | 2101011021 |
| As time | 46771 seconds = 12 h 59 min 31 s |
Is 46771 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 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 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 7) | 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 10) | 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 46771 a prime number?
Yes. 46771 is divisible only by 1 and itself.
What are the factors of 46771?
1, 46771.
What is 46771 in binary?
1011011010110011 (hexadecimal B6B3, octal 133263).
What is the square root of 46771?
About 216.2660.
Is 46771 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46771?
46771 is a twin prime (46769 and 46771 are both prime); the 4834th prime number.