The number 46831
46831 is a twin prime (46829 and 46831 are both prime) and the 4840th prime number. Its only divisors are 1 and 46831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46831: a twin prime (46829 and 46831 are both prime); the 4840th prime number.
- 2
46831 is prime, so its only factors are 1 and 46831. It is the 4840th prime; the next prime is 46853 and the one before is 46829.
- 3
The divisors add up to 46832; without 46831 itself that is 1, so 46831 is deficient (1 is less than 46831). Euler's totient φ(46831) = 46830 numbers up to 46831 share no factor with it.
- 4
The digits of 46831 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 132 steps to reach 1.
46831 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46832 |
| Euler totient φ(n) | 46830 |
| Square | 2193142561 |
| Cube | 102707059274191 |
| Square root | 216.404713 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6831 × |
46831 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and thirty-one |
| Binary (base 2) | 1011011011101111 |
| Octal (base 8) | 133357 |
| Hexadecimal (base 16) | B6EF |
| Base 3 | 2101020111 |
| As time | 46831 seconds = 13 h 0 min 31 s |
Is 46831 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 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 46831 a prime number?
Yes. 46831 is divisible only by 1 and itself.
What are the factors of 46831?
1, 46831.
What is 46831 in binary?
1011011011101111 (hexadecimal B6EF, octal 133357).
What is the square root of 46831?
About 216.4047.
Is 46831 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46831?
46831 is a twin prime (46829 and 46831 are both prime); the 4840th prime number.