The number 46489
46489 is the 4805th prime number. Its only divisors are 1 and 46489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46489: the 4805th prime number.
- 2
46489 is prime, so its only factors are 1 and 46489. It is the 4805th prime; the next prime is 46499 and the one before is 46477.
- 3
The divisors add up to 46490; without 46489 itself that is 1, so 46489 is deficient (1 is less than 46489). Euler's totient φ(46489) = 46488 numbers up to 46489 share no factor with it.
- 4
The digits of 46489 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 114 steps to reach 1.
46489 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46490 |
| Euler totient φ(n) | 46488 |
| Square | 2161227121 |
| Cube | 100473287628169 |
| Square root | 215.613079 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6489 × |
46489 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and eighty-nine |
| Binary (base 2) | 1011010110011001 |
| Octal (base 8) | 132631 |
| Hexadecimal (base 16) | B599 |
| Base 3 | 2100202211 |
| As time | 46489 seconds = 12 h 54 min 49 s |
Is 46489 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 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 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46489 a prime number?
Yes. 46489 is divisible only by 1 and itself.
What are the factors of 46489?
1, 46489.
What is 46489 in binary?
1011010110011001 (hexadecimal B599, octal 132631).
What is the square root of 46489?
About 215.6131.
Is 46489 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 46489?
46489 is the 4805th prime number.