The number 47777
47777 is a twin prime (47777 and 47779 are both prime) and the 4924th prime number. Its only divisors are 1 and 47777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47777: a twin prime (47777 and 47779 are both prime); the 4924th prime number.
- 2
47777 is prime, so its only factors are 1 and 47777. It is the 4924th prime; the next prime is 47779 and the one before is 47743.
- 3
The divisors add up to 47778; without 47777 itself that is 1, so 47777 is deficient (1 is less than 47777). Euler's totient φ(47777) = 47776 numbers up to 47777 share no factor with it.
- 4
The digits of 47777 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
47777 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47778 |
| Euler totient φ(n) | 47776 |
| Square | 2282641729 |
| Cube | 109057773886433 |
| Square root | 218.579505 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.7777 × |
47777 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and seventy-seven |
| Binary (base 2) | 1011101010100001 |
| Octal (base 8) | 135241 |
| Hexadecimal (base 16) | BAA1 |
| Base 3 | 2102112112 |
| As time | 47777 seconds = 13 h 16 min 17 s |
Is 47777 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 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 2) | 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 5) | 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 4) | 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 47777 a prime number?
Yes. 47777 is divisible only by 1 and itself.
What are the factors of 47777?
1, 47777.
What is 47777 in binary?
1011101010100001 (hexadecimal BAA1, octal 135241).
What is the square root of 47777?
About 218.5795.
Is 47777 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 47777?
47777 is a twin prime (47777 and 47779 are both prime); the 4924th prime number.