The number 3347
3347 is the 472nd prime number. Its only divisors are 1 and 3347.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3347: the 472nd prime number.
- 2
3347 is prime, so its only factors are 1 and 3347. It is the 472nd prime; the next prime is 3359 and the one before is 3343.
- 3
The divisors add up to 3348; without 3347 itself that is 1, so 3347 is deficient (1 is less than 3347). Euler's totient φ(3347) = 3346 numbers up to 3347 share no factor with it.
- 4
The digits of 3347 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
3347 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3348 |
| Euler totient φ(n) | 3346 |
| Square | 11202409 |
| Cube | 37494462923 |
| Square root | 57.853263 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.347 × |
3347 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and forty-seven |
| Roman numerals | MMMCCCXLVII |
| Binary (base 2) | 110100010011 |
| Octal (base 8) | 6423 |
| Hexadecimal (base 16) | D13 |
| Base 3 | 11120222 |
| As time | 3347 seconds = 55 min 47 s |
Is 3347 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 1) | 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 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 3) | 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 3347 a prime number?
Yes. 3347 is divisible only by 1 and itself.
What are the factors of 3347?
1, 3347.
What is 3347 in binary?
110100010011 (hexadecimal D13, octal 6423).
What is the square root of 3347?
About 57.8533.
What is 3347 in Roman numerals?
MMMCCCXLVII.
Is 3347 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3347?
3347 is the 472nd prime number.