The number 3395
3395 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 97. Divisors (8): 1, 5, 7, 35, 97, 485, 679, 3395.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3395 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3395 is composite. Its prime factorisation is
- 3
The divisors add up to 4704; without 3395 itself that is 1309, so 3395 is deficient (1309 is less than 3395). Euler's totient φ(3395) = 2304 numbers up to 3395 share no factor with it.
- 4
The digits of 3395 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3395 = 5 \times 7 \times 97 \]
3395 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4704 |
| Euler totient φ(n) | 2304 |
| Square | 11526025 |
| Cube | 39130854875 |
| Square root | 58.266629 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.395 × |
3395 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and ninety-five |
| Roman numerals | MMMCCCXCV |
| Binary (base 2) | 110101000011 |
| Octal (base 8) | 6503 |
| Hexadecimal (base 16) | D43 |
| Base 3 | 11122202 |
| As time | 3395 seconds = 56 min 35 s |
Is 3395 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 | No (remainder 2) | 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 | Yes (3395 ÷ 5 = 679) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3395 ÷ 7 = 485) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3395 a prime number?
No. 3395 = 5 × 7 × 97, so it is divisible by 5.
What are the factors of 3395?
1, 5, 7, 35, 97, 485, 679, 3395.
What is 3395 in binary?
110101000011 (hexadecimal D43, octal 6503).
What is the square root of 3395?
About 58.2666.
What is 3395 in Roman numerals?
MMMCCCXCV.
Is 3395 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3395?
It is a composite number with 8 divisors.