The number 48487
48487 is the 4988th prime number. Its only divisors are 1 and 48487.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48487: the 4988th prime number.
- 2
48487 is prime, so its only factors are 1 and 48487. It is the 4988th prime; the next prime is 48491 and the one before is 48481.
- 3
The divisors add up to 48488; without 48487 itself that is 1, so 48487 is deficient (1 is less than 48487). Euler's totient φ(48487) = 48486 numbers up to 48487 share no factor with it.
- 4
The digits of 48487 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
48487 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48488 |
| Euler totient φ(n) | 48486 |
| Square | 2350989169 |
| Cube | 113992411837303 |
| Square root | 220.197638 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8487 × |
48487 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and eighty-seven |
| Binary (base 2) | 1011110101100111 |
| Octal (base 8) | 136547 |
| Hexadecimal (base 16) | BD67 |
| Base 3 | 2110111211 |
| As time | 48487 seconds = 13 h 28 min 7 s |
Is 48487 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | 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 48487 a prime number?
Yes. 48487 is divisible only by 1 and itself.
What are the factors of 48487?
1, 48487.
What is 48487 in binary?
1011110101100111 (hexadecimal BD67, octal 136547).
What is the square root of 48487?
About 220.1976.
Is 48487 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 48487?
48487 is the 4988th prime number.