The number 1343
1343 is a composite number with 4 divisors. Its prime factorisation is 17 × 79. Divisors (4): 1, 17, 79, 1343.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1343: a semiprime: 17 × 79, the product of two primes.
- 2
1343 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 1343 itself that is 97, so 1343 is deficient (97 is less than 1343). Euler's totient φ(1343) = 1248 numbers up to 1343 share no factor with it.
- 4
The digits of 1343 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1343 = 17 \times 79 \]
1343 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 1248 |
| Square | 1803649 |
| Cube | 2422300607 |
| Square root | 36.646964 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 1.343 × |
1343 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and forty-three |
| Roman numerals | MCCCXLIII |
| Binary (base 2) | 10100111111 |
| Octal (base 8) | 2477 |
| Hexadecimal (base 16) | 53F |
| Base 3 | 1211202 |
| As time | 1343 seconds = 22 min 23 s |
Is 1343 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 | No (remainder 3) | 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 | No (remainder 6) | 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 1343 a prime number?
No. 1343 = 17 × 79, so it is divisible by 17.
What are the factors of 1343?
1, 17, 79, 1343.
What is 1343 in binary?
10100111111 (hexadecimal 53F, octal 2477).
What is the square root of 1343?
About 36.6470.
What is 1343 in Roman numerals?
MCCCXLIII.
Is 1343 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1343?
1343 is a semiprime: 17 × 79, the product of two primes.