The number 3346
3346 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 239. Divisors (8): 1, 2, 7, 14, 239, 478, 1673, 3346.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3346: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3346 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 3346 itself that is 2414, so 3346 is deficient (2414 is less than 3346). Euler's totient φ(3346) = 1428 numbers up to 3346 share no factor with it.
- 4
The digits of 3346 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3346 = 2 \times 7 \times 239 \]
3346 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 1428 |
| Square | 11195716 |
| Cube | 37460865736 |
| Square root | 57.844619 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.346 × |
3346 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and forty-six |
| Roman numerals | MMMCCCXLVI |
| Binary (base 2) | 110100010010 |
| Octal (base 8) | 6422 |
| Hexadecimal (base 16) | D12 |
| Base 3 | 11120221 |
| As time | 3346 seconds = 55 min 46 s |
Is 3346 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3346 ÷ 2 = 1673) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3346 ÷ 7 = 478) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3346 a prime number?
No. 3346 = 2 × 7 × 239, so it is divisible by 2.
What are the factors of 3346?
1, 2, 7, 14, 239, 478, 1673, 3346.
What is 3346 in binary?
110100010010 (hexadecimal D12, octal 6422).
What is the square root of 3346?
About 57.8446.
What is 3346 in Roman numerals?
MMMCCCXLVI.
Is 3346 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3346?
3346 is a happy number: repeatedly adding the squares of its digits reaches 1.