The number 4889
4889 is the 654th prime number and a binary palindrome (1001100011001). Its only divisors are 1 and 4889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4889: the 654th prime number; a binary palindrome (1001100011001).
- 2
4889 is prime, so its only factors are 1 and 4889. It is the 654th prime; the next prime is 4903 and the one before is 4877.
- 3
The divisors add up to 4890; without 4889 itself that is 1, so 4889 is deficient (1 is less than 4889). Euler's totient φ(4889) = 4888 numbers up to 4889 share no factor with it.
- 4
The digits of 4889 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
4889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4890 |
| Euler totient φ(n) | 4888 |
| Square | 23902321 |
| Cube | 116858447369 |
| Square root | 69.921384 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.889 × |
4889 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and eighty-nine |
| Binary (base 2) | 1001100011001 |
| Octal (base 8) | 11431 |
| Hexadecimal (base 16) | 1319 |
| Base 3 | 20201002 |
| As time | 4889 seconds = 1 h 21 min 29 s |
Is 4889 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 2) | 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 5) | 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 4889 a prime number?
Yes. 4889 is divisible only by 1 and itself.
What are the factors of 4889?
1, 4889.
What is 4889 in binary?
1001100011001 (hexadecimal 1319, octal 11431).
What is the square root of 4889?
About 69.9214.
Is 4889 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 4889?
4889 is the 654th prime number; a binary palindrome (1001100011001).