The number 46727
46727 is the 4829th prime number. Its only divisors are 1 and 46727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46727: the 4829th prime number.
- 2
46727 is prime, so its only factors are 1 and 46727. It is the 4829th prime; the next prime is 46747 and the one before is 46723.
- 3
The divisors add up to 46728; without 46727 itself that is 1, so 46727 is deficient (1 is less than 46727). Euler's totient φ(46727) = 46726 numbers up to 46727 share no factor with it.
- 4
The digits of 46727 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
46727 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46728 |
| Euler totient φ(n) | 46726 |
| Square | 2183412529 |
| Cube | 102024317242583 |
| Square root | 216.164289 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.6727 × |
46727 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and twenty-seven |
| Binary (base 2) | 1011011010000111 |
| Octal (base 8) | 133207 |
| Hexadecimal (base 16) | B687 |
| Base 3 | 2101002122 |
| As time | 46727 seconds = 12 h 58 min 47 s |
Is 46727 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 2) | 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 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 7) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46727 a prime number?
Yes. 46727 is divisible only by 1 and itself.
What are the factors of 46727?
1, 46727.
What is 46727 in binary?
1011011010000111 (hexadecimal B687, octal 133207).
What is the square root of 46727?
About 216.1643.
Is 46727 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46727?
46727 is the 4829th prime number.