The number 346
346 is a composite number with 4 divisors. Its prime factorisation is 2 × 173. Divisors (4): 1, 2, 173, 346.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 346: a semiprime: 2 × 173, the product of two primes.
- 2
346 is composite. Its prime factorisation is
- 3
The divisors add up to 522; without 346 itself that is 176, so 346 is deficient (176 is less than 346). Euler's totient φ(346) = 172 numbers up to 346 share no factor with it.
- 4
The digits of 346 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 346 = 2 \times 173 \]
346 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 522 |
| Euler totient φ(n) | 172 |
| Square | 119716 |
| Cube | 41421736 |
| Square root | 18.601075 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 32 |
| Scientific notation | 3.46 × |
346 in other forms
| Form | Value |
|---|---|
| In words | three hundred and forty-six |
| Roman numerals | CCCXLVI |
| Binary (base 2) | 101011010 |
| Octal (base 8) | 532 |
| Hexadecimal (base 16) | 15A |
| Base 3 | 110211 |
| As time | 346 seconds = 5 min 46 s |
Is 346 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (346 ÷ 2 = 173) | 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 | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | 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 346 a prime number?
No. 346 = 2 × 173, so it is divisible by 2.
What are the factors of 346?
1, 2, 173, 346.
What is 346 in binary?
101011010 (hexadecimal 15A, octal 532).
What is the square root of 346?
About 18.6011.
What is 346 in Roman numerals?
CCCXLVI.
Is 346 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 346?
346 is a semiprime: 2 × 173, the product of two primes.