The number 46889
46889 is the 4845th prime number. Its only divisors are 1 and 46889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46889: the 4845th prime number.
- 2
46889 is prime, so its only factors are 1 and 46889. It is the 4845th prime; the next prime is 46901 and the one before is 46877.
- 3
The divisors add up to 46890; without 46889 itself that is 1, so 46889 is deficient (1 is less than 46889). Euler's totient φ(46889) = 46888 numbers up to 46889 share no factor with it.
- 4
The digits of 46889 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
46889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46890 |
| Euler totient φ(n) | 46888 |
| Square | 2198578321 |
| Cube | 103089138893369 |
| Square root | 216.538680 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6889 × |
46889 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and eighty-nine |
| Binary (base 2) | 1011011100101001 |
| Octal (base 8) | 133451 |
| Hexadecimal (base 16) | B729 |
| Base 3 | 2101022122 |
| As time | 46889 seconds = 13 h 1 min 29 s |
Is 46889 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 1) | 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 1) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46889 a prime number?
Yes. 46889 is divisible only by 1 and itself.
What are the factors of 46889?
1, 46889.
What is 46889 in binary?
1011011100101001 (hexadecimal B729, octal 133451).
What is the square root of 46889?
About 216.5387.
Is 46889 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 46889?
46889 is the 4845th prime number.