The number 3343
3343 is the 471st prime number. Its only divisors are 1 and 3343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3343: the 471st prime number.
- 2
3343 is prime, so its only factors are 1 and 3343. It is the 471st prime; the next prime is 3347 and the one before is 3331.
- 3
The divisors add up to 3344; without 3343 itself that is 1, so 3343 is deficient (1 is less than 3343). Euler's totient φ(3343) = 3342 numbers up to 3343 share no factor with it.
- 4
The digits of 3343 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
3343 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3344 |
| Euler totient φ(n) | 3342 |
| Square | 11175649 |
| Cube | 37360194607 |
| Square root | 57.818682 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.343 × |
3343 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and forty-three |
| Roman numerals | MMMCCCXLIII |
| Binary (base 2) | 110100001111 |
| Octal (base 8) | 6417 |
| Hexadecimal (base 16) | D0F |
| Base 3 | 11120211 |
| As time | 3343 seconds = 55 min 43 s |
Is 3343 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3343 a prime number?
Yes. 3343 is divisible only by 1 and itself.
What are the factors of 3343?
1, 3343.
What is 3343 in binary?
110100001111 (hexadecimal D0F, octal 6417).
What is the square root of 3343?
About 57.8187.
What is 3343 in Roman numerals?
MMMCCCXLIII.
Is 3343 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3343?
3343 is the 471st prime number.