The number 48889
48889 is the 5029th prime number. Its only divisors are 1 and 48889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48889: the 5029th prime number.
- 2
48889 is prime, so its only factors are 1 and 48889. It is the 5029th prime; the next prime is 48907 and the one before is 48883.
- 3
The divisors add up to 48890; without 48889 itself that is 1, so 48889 is deficient (1 is less than 48889). Euler's totient φ(48889) = 48888 numbers up to 48889 share no factor with it.
- 4
The digits of 48889 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
48889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48890 |
| Euler totient φ(n) | 48888 |
| Square | 2390134321 |
| Cube | 116851276819369 |
| Square root | 221.108571 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8889 × |
48889 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and eighty-nine |
| Binary (base 2) | 1011111011111001 |
| Octal (base 8) | 137371 |
| Hexadecimal (base 16) | BEF9 |
| Base 3 | 2111001201 |
| As time | 48889 seconds = 13 h 34 min 49 s |
Is 48889 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 1) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48889 a prime number?
Yes. 48889 is divisible only by 1 and itself.
What are the factors of 48889?
1, 48889.
What is 48889 in binary?
1011111011111001 (hexadecimal BEF9, octal 137371).
What is the square root of 48889?
About 221.1086.
Is 48889 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 48889?
48889 is the 5029th prime number.