The number 48809
48809 is the 5019th prime number. Its only divisors are 1 and 48809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48809: the 5019th prime number.
- 2
48809 is prime, so its only factors are 1 and 48809. It is the 5019th prime; the next prime is 48817 and the one before is 48799.
- 3
The divisors add up to 48810; without 48809 itself that is 1, so 48809 is deficient (1 is less than 48809). Euler's totient φ(48809) = 48808 numbers up to 48809 share no factor with it.
- 4
The digits of 48809 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 150 steps to reach 1.
48809 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48810 |
| Euler totient φ(n) | 48808 |
| Square | 2382318481 |
| Cube | 116278582739129 |
| Square root | 220.927590 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.8809 × |
48809 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and nine |
| Binary (base 2) | 1011111010101001 |
| Octal (base 8) | 137251 |
| Hexadecimal (base 16) | BEA9 |
| Base 3 | 2110221202 |
| As time | 48809 seconds = 13 h 33 min 29 s |
Is 48809 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 5) | 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 2) | 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 48809 a prime number?
Yes. 48809 is divisible only by 1 and itself.
What are the factors of 48809?
1, 48809.
What is 48809 in binary?
1011111010101001 (hexadecimal BEA9, octal 137251).
What is the square root of 48809?
About 220.9276.
Is 48809 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 48809?
48809 is the 5019th prime number.