The number 48989
48989 is a twin prime (48989 and 48991 are both prime) and the 5034th prime number. Its only divisors are 1 and 48989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48989: a twin prime (48989 and 48991 are both prime); the 5034th prime number.
- 2
48989 is prime, so its only factors are 1 and 48989. It is the 5034th prime; the next prime is 48991 and the one before is 48973.
- 3
The divisors add up to 48990; without 48989 itself that is 1, so 48989 is deficient (1 is less than 48989). Euler's totient φ(48989) = 48988 numbers up to 48989 share no factor with it.
- 4
The digits of 48989 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
48989 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48990 |
| Euler totient φ(n) | 48988 |
| Square | 2399922121 |
| Cube | 117569784785669 |
| Square root | 221.334588 |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8989 × |
48989 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and eighty-nine |
| Binary (base 2) | 1011111101011101 |
| Octal (base 8) | 137535 |
| Hexadecimal (base 16) | BF5D |
| Base 3 | 2111012102 |
| As time | 48989 seconds = 13 h 36 min 29 s |
Is 48989 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 5) | 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 6) | 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 48989 a prime number?
Yes. 48989 is divisible only by 1 and itself.
What are the factors of 48989?
1, 48989.
What is 48989 in binary?
1011111101011101 (hexadecimal BF5D, octal 137535).
What is the square root of 48989?
About 221.3346.
Is 48989 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 48989?
48989 is a twin prime (48989 and 48991 are both prime); the 5034th prime number.