The number 3309
3309 is a composite number with 4 divisors. Its prime factorisation is 3 × 1103. Divisors (4): 1, 3, 1103, 3309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3309: a semiprime: 3 × 1103, the product of two primes.
- 2
3309 is composite. Its prime factorisation is
- 3
The divisors add up to 4416; without 3309 itself that is 1107, so 3309 is deficient (1107 is less than 3309). Euler's totient φ(3309) = 2204 numbers up to 3309 share no factor with it.
- 4
The digits of 3309 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3309 = 3 \times 1103 \]
3309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4416 |
| Euler totient φ(n) | 2204 |
| Square | 10949481 |
| Cube | 36231832629 |
| Square root | 57.523908 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.309 × |
3309 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and nine |
| Roman numerals | MMMCCCIX |
| Binary (base 2) | 110011101101 |
| Octal (base 8) | 6355 |
| Hexadecimal (base 16) | CED |
| Base 3 | 11112120 |
| As time | 3309 seconds = 55 min 9 s |
Is 3309 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 (3309 ÷ 3 = 1103) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3309 a prime number?
No. 3309 = 3 × 1103, so it is divisible by 3.
What are the factors of 3309?
1, 3, 1103, 3309.
What is 3309 in binary?
110011101101 (hexadecimal CED, octal 6355).
What is the square root of 3309?
About 57.5239.
What is 3309 in Roman numerals?
MMMCCCIX.
Is 3309 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3309?
3309 is a semiprime: 3 × 1103, the product of two primes.