The number 3363
3363 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 59. Divisors (8): 1, 3, 19, 57, 59, 177, 1121, 3363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3363 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3363 is composite. Its prime factorisation is
- 3
The divisors add up to 4800; without 3363 itself that is 1437, so 3363 is deficient (1437 is less than 3363). Euler's totient φ(3363) = 2088 numbers up to 3363 share no factor with it.
- 4
The digits of 3363 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
\[ 3363 = 3 \times 19 \times 59 \]
3363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4800 |
| Euler totient φ(n) | 2088 |
| Square | 11309769 |
| Cube | 38034753147 |
| Square root | 57.991379 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.363 × |
3363 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and sixty-three |
| Roman numerals | MMMCCCLXIII |
| Binary (base 2) | 110100100011 |
| Octal (base 8) | 6443 |
| Hexadecimal (base 16) | D23 |
| Base 3 | 11121120 |
| As time | 3363 seconds = 56 min 3 s |
Is 3363 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 (3363 ÷ 3 = 1121) | 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 3) | 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 6) | 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 8) | 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 3363 a prime number?
No. 3363 = 3 × 19 × 59, so it is divisible by 3.
What are the factors of 3363?
1, 3, 19, 57, 59, 177, 1121, 3363.
What is 3363 in binary?
110100100011 (hexadecimal D23, octal 6443).
What is the square root of 3363?
About 57.9914.
What is 3363 in Roman numerals?
MMMCCCLXIII.
Is 3363 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3363?
It is a composite number with 8 divisors.