The number 3398
3398 is a composite number with 4 divisors. Its prime factorisation is 2 × 1699. Divisors (4): 1, 2, 1699, 3398.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3398: a semiprime: 2 × 1699, the product of two primes.
- 2
3398 is composite. Its prime factorisation is
- 3
The divisors add up to 5100; without 3398 itself that is 1702, so 3398 is deficient (1702 is less than 3398). Euler's totient φ(3398) = 1698 numbers up to 3398 share no factor with it.
- 4
The digits of 3398 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3398 = 2 \times 1699 \]
3398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5100 |
| Euler totient φ(n) | 1698 |
| Square | 11546404 |
| Cube | 39234680792 |
| Square root | 58.292367 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.398 × |
3398 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and ninety-eight |
| Roman numerals | MMMCCCXCVIII |
| Binary (base 2) | 110101000110 |
| Octal (base 8) | 6506 |
| Hexadecimal (base 16) | D46 |
| Base 3 | 11122212 |
| As time | 3398 seconds = 56 min 38 s |
Is 3398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3398 ÷ 2 = 1699) | 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 2) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3398 a prime number?
No. 3398 = 2 × 1699, so it is divisible by 2.
What are the factors of 3398?
1, 2, 1699, 3398.
What is 3398 in binary?
110101000110 (hexadecimal D46, octal 6506).
What is the square root of 3398?
About 58.2924.
What is 3398 in Roman numerals?
MMMCCCXCVIII.
Is 3398 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3398?
3398 is a semiprime: 2 × 1699, the product of two primes.