The number 46867
46867 is the 4843rd prime number. Its only divisors are 1 and 46867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46867: the 4843rd prime number.
- 2
46867 is prime, so its only factors are 1 and 46867. It is the 4843rd prime; the next prime is 46877 and the one before is 46861.
- 3
The divisors add up to 46868; without 46867 itself that is 1, so 46867 is deficient (1 is less than 46867). Euler's totient φ(46867) = 46866 numbers up to 46867 share no factor with it.
- 4
The digits of 46867 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
46867 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46868 |
| Euler totient φ(n) | 46866 |
| Square | 2196515689 |
| Cube | 102944100796363 |
| Square root | 216.487875 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.6867 × |
46867 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and sixty-seven |
| Binary (base 2) | 1011011100010011 |
| Octal (base 8) | 133423 |
| Hexadecimal (base 16) | B713 |
| Base 3 | 2101021211 |
| As time | 46867 seconds = 13 h 1 min 7 s |
Is 46867 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 2) | 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46867 a prime number?
Yes. 46867 is divisible only by 1 and itself.
What are the factors of 46867?
1, 46867.
What is 46867 in binary?
1011011100010011 (hexadecimal B713, octal 133423).
What is the square root of 46867?
About 216.4879.
Is 46867 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 46867?
46867 is the 4843rd prime number.