The number 47351
47351 is a twin prime (47351 and 47353 are both prime) and the 4882nd prime number. Its only divisors are 1 and 47351.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47351: a twin prime (47351 and 47353 are both prime); the 4882nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47351 is prime, so its only factors are 1 and 47351. It is the 4882nd prime; the next prime is 47353 and the one before is 47339.
- 3
The divisors add up to 47352; without 47351 itself that is 1, so 47351 is deficient (1 is less than 47351). Euler's totient φ(47351) = 47350 numbers up to 47351 share no factor with it.
- 4
The digits of 47351 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
47351 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47352 |
| Euler totient φ(n) | 47350 |
| Square | 2242117201 |
| Cube | 106166491584551 |
| Square root | 217.602849 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7351 × |
47351 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and fifty-one |
| Binary (base 2) | 1011100011110111 |
| Octal (base 8) | 134367 |
| Hexadecimal (base 16) | B8F7 |
| Base 3 | 2101221202 |
| As time | 47351 seconds = 13 h 9 min 11 s |
Is 47351 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 1) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 47351 a prime number?
Yes. 47351 is divisible only by 1 and itself.
What are the factors of 47351?
1, 47351.
What is 47351 in binary?
1011100011110111 (hexadecimal B8F7, octal 134367).
What is the square root of 47351?
About 217.6028.
Is 47351 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47351?
47351 is a twin prime (47351 and 47353 are both prime); the 4882nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.