The number 47807
47807 is a twin prime (47807 and 47809 are both prime) and the 4928th prime number. Its only divisors are 1 and 47807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47807: a twin prime (47807 and 47809 are both prime); the 4928th prime number.
- 2
47807 is prime, so its only factors are 1 and 47807. It is the 4928th prime; the next prime is 47809 and the one before is 47797.
- 3
The divisors add up to 47808; without 47807 itself that is 1, so 47807 is deficient (1 is less than 47807). Euler's totient φ(47807) = 47806 numbers up to 47807 share no factor with it.
- 4
The digits of 47807 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
47807 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47808 |
| Euler totient φ(n) | 47806 |
| Square | 2285509249 |
| Cube | 109263340666943 |
| Square root | 218.648119 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7807 × |
47807 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and seven |
| Binary (base 2) | 1011101010111111 |
| Octal (base 8) | 135277 |
| Hexadecimal (base 16) | BABF |
| Base 3 | 2102120122 |
| As time | 47807 seconds = 13 h 16 min 47 s |
Is 47807 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 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47807 a prime number?
Yes. 47807 is divisible only by 1 and itself.
What are the factors of 47807?
1, 47807.
What is 47807 in binary?
1011101010111111 (hexadecimal BABF, octal 135277).
What is the square root of 47807?
About 218.6481.
Is 47807 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47807?
47807 is a twin prime (47807 and 47809 are both prime); the 4928th prime number.