The number 48907
48907 is the 5030th prime number. Its only divisors are 1 and 48907.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48907: the 5030th prime number.
- 2
48907 is prime, so its only factors are 1 and 48907. It is the 5030th prime; the next prime is 48947 and the one before is 48889.
- 3
The divisors add up to 48908; without 48907 itself that is 1, so 48907 is deficient (1 is less than 48907). Euler's totient φ(48907) = 48906 numbers up to 48907 share no factor with it.
- 4
The digits of 48907 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
48907 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48908 |
| Euler totient φ(n) | 48906 |
| Square | 2391894649 |
| Cube | 116980391598643 |
| Square root | 221.149271 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8907 × |
48907 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand nine hundred and seven |
| Binary (base 2) | 1011111100001011 |
| Octal (base 8) | 137413 |
| Hexadecimal (base 16) | BF0B |
| Base 3 | 2111002101 |
| As time | 48907 seconds = 13 h 35 min 7 s |
Is 48907 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48907 a prime number?
Yes. 48907 is divisible only by 1 and itself.
What are the factors of 48907?
1, 48907.
What is 48907 in binary?
1011111100001011 (hexadecimal BF0B, octal 137413).
What is the square root of 48907?
About 221.1493.
Is 48907 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48907?
48907 is the 5030th prime number.