The number 1346
1346 is a composite number with 4 divisors. Its prime factorisation is 2 × 673. Divisors (4): 1, 2, 673, 1346.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1346: a semiprime: 2 × 673, the product of two primes.
- 2
1346 is composite. Its prime factorisation is
- 3
The divisors add up to 2022; without 1346 itself that is 676, so 1346 is deficient (676 is less than 1346). Euler's totient φ(1346) = 672 numbers up to 1346 share no factor with it.
- 4
The digits of 1346 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1346 = 2 \times 673 \]
1346 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2022 |
| Euler totient φ(n) | 672 |
| Square | 1811716 |
| Cube | 2438569736 |
| Square root | 36.687873 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.346 × |
1346 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and forty-six |
| Roman numerals | MCCCXLVI |
| Binary (base 2) | 10101000010 |
| Octal (base 8) | 2502 |
| Hexadecimal (base 16) | 542 |
| Base 3 | 1211212 |
| As time | 1346 seconds = 22 min 26 s |
Is 1346 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1346 ÷ 2 = 673) | 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 1) | 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 2) | 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 5) | 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 4) | 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 1346 a prime number?
No. 1346 = 2 × 673, so it is divisible by 2.
What are the factors of 1346?
1, 2, 673, 1346.
What is 1346 in binary?
10101000010 (hexadecimal 542, octal 2502).
What is the square root of 1346?
About 36.6879.
What is 1346 in Roman numerals?
MCCCXLVI.
Is 1346 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1346?
1346 is a semiprime: 2 × 673, the product of two primes.