The number 3303
3303 is a composite number with 6 divisors. Its prime factorisation is × 367. Divisors (6): 1, 3, 9, 367, 1101, 3303.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3303: a Harshad number: divisible by its digit sum 9.
- 2
3303 is composite. Its prime factorisation is
- 3
The divisors add up to 4784; without 3303 itself that is 1481, so 3303 is deficient (1481 is less than 3303). Euler's totient φ(3303) = 2196 numbers up to 3303 share no factor with it.
- 4
The digits of 3303 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3303 = 3^{2} \times 367 \]3303 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4784 |
| Euler totient φ(n) | 2196 |
| Square | 10909809 |
| Cube | 36035099127 |
| Square root | 57.471732 (= 3√367) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.303 × |
3303 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and three |
| Roman numerals | MMMCCCIII |
| Binary (base 2) | 110011100111 |
| Octal (base 8) | 6347 |
| Hexadecimal (base 16) | CE7 |
| Base 3 | 11112100 |
| As time | 3303 seconds = 55 min 3 s |
Is 3303 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 | Yes (3303 ÷ 3 = 1101) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (3303 ÷ 9 = 367) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3303 a prime number?
No. 3303 = × 367, so it is divisible by 3.
What are the factors of 3303?
1, 3, 9, 367, 1101, 3303.
What is 3303 in binary?
110011100111 (hexadecimal CE7, octal 6347).
What is the square root of 3303?
About 57.4717, exactly 3√367.
What is 3303 in Roman numerals?
MMMCCCIII.
Is 3303 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3303?
3303 is a Harshad number: divisible by its digit sum 9.