The number 46679
46679 is a twin prime (46679 and 46681 are both prime) and the 4823rd prime number. Its only divisors are 1 and 46679.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46679: a twin prime (46679 and 46681 are both prime); the 4823rd prime number.
- 2
46679 is prime, so its only factors are 1 and 46679. It is the 4823rd prime; the next prime is 46681 and the one before is 46663.
- 3
The divisors add up to 46680; without 46679 itself that is 1, so 46679 is deficient (1 is less than 46679). Euler's totient φ(46679) = 46678 numbers up to 46679 share no factor with it.
- 4
The digits of 46679 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
46679 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46680 |
| Euler totient φ(n) | 46678 |
| Square | 2178929041 |
| Cube | 101710228704839 |
| Square root | 216.053234 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6679 × |
46679 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and seventy-nine |
| Binary (base 2) | 1011011001010111 |
| Octal (base 8) | 133127 |
| Hexadecimal (base 16) | B657 |
| Base 3 | 2101000212 |
| As time | 46679 seconds = 12 h 57 min 59 s |
Is 46679 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46679 a prime number?
Yes. 46679 is divisible only by 1 and itself.
What are the factors of 46679?
1, 46679.
What is 46679 in binary?
1011011001010111 (hexadecimal B657, octal 133127).
What is the square root of 46679?
About 216.0532.
Is 46679 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 46679?
46679 is a twin prime (46679 and 46681 are both prime); the 4823rd prime number.