The number 3399
3399 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 103. Divisors (8): 1, 3, 11, 33, 103, 309, 1133, 3399.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3399 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3399 is composite. Its prime factorisation is
- 3
The divisors add up to 4992; without 3399 itself that is 1593, so 3399 is deficient (1593 is less than 3399). Euler's totient φ(3399) = 2040 numbers up to 3399 share no factor with it.
- 4
The digits of 3399 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3399 = 3 \times 11 \times 103 \]
3399 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4992 |
| Euler totient φ(n) | 2040 |
| Square | 11553201 |
| Cube | 39269330199 |
| Square root | 58.300943 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.399 × |
3399 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and ninety-nine |
| Roman numerals | MMMCCCXCIX |
| Binary (base 2) | 110101000111 |
| Octal (base 8) | 6507 |
| Hexadecimal (base 16) | D47 |
| Base 3 | 11122220 |
| As time | 3399 seconds = 56 min 39 s |
Is 3399 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 (3399 ÷ 3 = 1133) | 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 | No (remainder 4) | 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 | 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 | Yes (3399 ÷ 11 = 309) | 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 3399 a prime number?
No. 3399 = 3 × 11 × 103, so it is divisible by 3.
What are the factors of 3399?
1, 3, 11, 33, 103, 309, 1133, 3399.
What is 3399 in binary?
110101000111 (hexadecimal D47, octal 6507).
What is the square root of 3399?
About 58.3009.
What is 3399 in Roman numerals?
MMMCCCXCIX.
Is 3399 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3399?
It is a composite number with 8 divisors.