The number 3339
3339 is a binary palindrome (110100001011). Its prime factorisation is × 7 × 53. Divisors (12): 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3339: a binary palindrome (110100001011).
- 2
3339 is composite. Its prime factorisation is
- 3
The divisors add up to 5616; without 3339 itself that is 2277, so 3339 is deficient (2277 is less than 3339). Euler's totient φ(3339) = 1872 numbers up to 3339 share no factor with it.
- 4
The digits of 3339 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3339 = 3^{2} \times 7 \times 53 \]3339 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5616 |
| Euler totient φ(n) | 1872 |
| Square | 11148921 |
| Cube | 37226247219 |
| Square root | 57.784081 (= 3√371) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.339 × |
3339 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirty-nine |
| Roman numerals | MMMCCCXXXIX |
| Binary (base 2) | 110100001011 |
| Octal (base 8) | 6413 |
| Hexadecimal (base 16) | D0B |
| Base 3 | 11120200 |
| As time | 3339 seconds = 55 min 39 s |
Is 3339 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 (3339 ÷ 3 = 1113) | 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 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 | Yes (3339 ÷ 7 = 477) | 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 | Yes (3339 ÷ 9 = 371) | 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 6) | 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 3339 a prime number?
No. 3339 = × 7 × 53, so it is divisible by 3.
What are the factors of 3339?
1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339.
What is 3339 in binary?
110100001011 (hexadecimal D0B, octal 6413).
What is the square root of 3339?
About 57.7841, exactly 3√371.
What is 3339 in Roman numerals?
MMMCCCXXXIX.
Is 3339 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3339?
3339 is a binary palindrome (110100001011).