The number 347
347 is a twin prime (347 and 349 are both prime) and the 69th prime number. Its only divisors are 1 and 347.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 347: a twin prime (347 and 349 are both prime); the 69th prime number.
- 2
347 is prime, so its only factors are 1 and 347. It is the 69th prime; the next prime is 349 and the one before is 337.
- 3
The divisors add up to 348; without 347 itself that is 1, so 347 is deficient (1 is less than 347). Euler's totient φ(347) = 346 numbers up to 347 share no factor with it.
- 4
The digits of 347 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
347 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 348 |
| Euler totient φ(n) | 346 |
| Square | 120409 |
| Cube | 41781923 |
| Square root | 18.627936 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 3.47 × |
347 in other forms
| Form | Value |
|---|---|
| In words | three hundred and forty-seven |
| Roman numerals | CCCXLVII |
| Binary (base 2) | 101011011 |
| Octal (base 8) | 533 |
| Hexadecimal (base 16) | 15B |
| Base 3 | 110212 |
| As time | 347 seconds = 5 min 47 s |
Is 347 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 3) | 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 6) | 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 347 a prime number?
Yes. 347 is divisible only by 1 and itself.
What are the factors of 347?
1, 347.
What is 347 in binary?
101011011 (hexadecimal 15B, octal 533).
What is the square root of 347?
About 18.6279.
What is 347 in Roman numerals?
CCCXLVII.
Is 347 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 347?
347 is a twin prime (347 and 349 are both prime); the 69th prime number.