The number 3323
3323 is the 468th prime number. Its only divisors are 1 and 3323.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3323: the 468th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3323 is prime, so its only factors are 1 and 3323. It is the 468th prime; the next prime is 3329 and the one before is 3319.
- 3
The divisors add up to 3324; without 3323 itself that is 1, so 3323 is deficient (1 is less than 3323). Euler's totient φ(3323) = 3322 numbers up to 3323 share no factor with it.
- 4
The digits of 3323 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
3323 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3324 |
| Euler totient φ(n) | 3322 |
| Square | 11042329 |
| Cube | 36693659267 |
| Square root | 57.645468 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.323 × |
3323 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and twenty-three |
| Roman numerals | MMMCCCXXIII |
| Binary (base 2) | 110011111011 |
| Octal (base 8) | 6373 |
| Hexadecimal (base 16) | CFB |
| Base 3 | 11120002 |
| As time | 3323 seconds = 55 min 23 s |
Is 3323 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 3) | 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 5) | 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 2) | 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 1) | 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 3323 a prime number?
Yes. 3323 is divisible only by 1 and itself.
What are the factors of 3323?
1, 3323.
What is 3323 in binary?
110011111011 (hexadecimal CFB, octal 6373).
What is the square root of 3323?
About 57.6455.
What is 3323 in Roman numerals?
MMMCCCXXIII.
Is 3323 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3323?
3323 is the 468th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.