The number 2743
2743 is a composite number with 4 divisors. Its prime factorisation is 13 × 211. Divisors (4): 1, 13, 211, 2743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2743: a semiprime: 13 × 211, the product of two primes.
- 2
2743 is composite. Its prime factorisation is
- 3
The divisors add up to 2968; without 2743 itself that is 225, so 2743 is deficient (225 is less than 2743). Euler's totient φ(2743) = 2520 numbers up to 2743 share no factor with it.
- 4
The digits of 2743 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2743 = 13 \times 211 \]
2743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2968 |
| Euler totient φ(n) | 2520 |
| Square | 7524049 |
| Cube | 20638466407 |
| Square root | 52.373658 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 115 |
| Scientific notation | 2.743 × |
2743 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and forty-three |
| Roman numerals | MMDCCXLIII |
| Binary (base 2) | 101010110111 |
| Octal (base 8) | 5267 |
| Hexadecimal (base 16) | AB7 |
| Base 3 | 10202121 |
| As time | 2743 seconds = 45 min 43 s |
Is 2743 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 1) | 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 1) | 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 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2743 a prime number?
No. 2743 = 13 × 211, so it is divisible by 13.
What are the factors of 2743?
1, 13, 211, 2743.
What is 2743 in binary?
101010110111 (hexadecimal AB7, octal 5267).
What is the square root of 2743?
About 52.3737.
What is 2743 in Roman numerals?
MMDCCXLIII.
Is 2743 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2743?
2743 is a semiprime: 13 × 211, the product of two primes.