The number 48787
48787 is the 5017th prime number. Its only divisors are 1 and 48787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48787: the 5017th prime number.
- 2
48787 is prime, so its only factors are 1 and 48787. It is the 5017th prime; the next prime is 48799 and the one before is 48781.
- 3
The divisors add up to 48788; without 48787 itself that is 1, so 48787 is deficient (1 is less than 48787). Euler's totient φ(48787) = 48786 numbers up to 48787 share no factor with it.
- 4
The digits of 48787 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48787 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48788 |
| Euler totient φ(n) | 48786 |
| Square | 2380171369 |
| Cube | 116121420579403 |
| Square root | 220.877794 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8787 × |
48787 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and eighty-seven |
| Binary (base 2) | 1011111010010011 |
| Octal (base 8) | 137223 |
| Hexadecimal (base 16) | BE93 |
| Base 3 | 2110220221 |
| As time | 48787 seconds = 13 h 33 min 7 s |
Is 48787 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 4) | 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 7) | 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 2) | 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 48787 a prime number?
Yes. 48787 is divisible only by 1 and itself.
What are the factors of 48787?
1, 48787.
What is 48787 in binary?
1011111010010011 (hexadecimal BE93, octal 137223).
What is the square root of 48787?
About 220.8778.
Is 48787 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 48787?
48787 is the 5017th prime number.