The number 47701
47701 is a twin prime (47699 and 47701 are both prime) and the 4917th prime number. Its only divisors are 1 and 47701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47701: a twin prime (47699 and 47701 are both prime); the 4917th prime number.
- 2
47701 is prime, so its only factors are 1 and 47701. It is the 4917th prime; the next prime is 47711 and the one before is 47699.
- 3
The divisors add up to 47702; without 47701 itself that is 1, so 47701 is deficient (1 is less than 47701). Euler's totient φ(47701) = 47700 numbers up to 47701 share no factor with it.
- 4
The digits of 47701 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
47701 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47702 |
| Euler totient φ(n) | 47700 |
| Square | 2275385401 |
| Cube | 108538159013101 |
| Square root | 218.405586 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7701 × |
47701 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and one |
| Binary (base 2) | 1011101001010101 |
| Octal (base 8) | 135125 |
| Hexadecimal (base 16) | BA55 |
| Base 3 | 2102102201 |
| As time | 47701 seconds = 13 h 15 min 1 s |
Is 47701 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47701 a prime number?
Yes. 47701 is divisible only by 1 and itself.
What are the factors of 47701?
1, 47701.
What is 47701 in binary?
1011101001010101 (hexadecimal BA55, octal 135125).
What is the square root of 47701?
About 218.4056.
Is 47701 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47701?
47701 is a twin prime (47699 and 47701 are both prime); the 4917th prime number.