The number 10743
10743 is a composite number with 4 divisors. Its prime factorisation is 3 × 3581. Divisors (4): 1, 3, 3581, 10743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10743: a semiprime: 3 × 3581, the product of two primes.
- 2
10743 is composite. Its prime factorisation is
- 3
The divisors add up to 14328; without 10743 itself that is 3585, so 10743 is deficient (3585 is less than 10743). Euler's totient φ(10743) = 7160 numbers up to 10743 share no factor with it.
- 4
The digits of 10743 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10743 = 3 \times 3581 \]
10743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14328 |
| Euler totient φ(n) | 7160 |
| Square | 115412049 |
| Cube | 1239871642407 |
| Square root | 103.648444 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.0743 × |
10743 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and forty-three |
| Binary (base 2) | 10100111110111 |
| Octal (base 8) | 24767 |
| Hexadecimal (base 16) | 29F7 |
| Base 3 | 112201220 |
| As time | 10743 seconds = 2 h 59 min 3 s |
Is 10743 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 | Yes (10743 ÷ 3 = 3581) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10743 a prime number?
No. 10743 = 3 × 3581, so it is divisible by 3.
What are the factors of 10743?
1, 3, 3581, 10743.
What is 10743 in binary?
10100111110111 (hexadecimal 29F7, octal 24767).
What is the square root of 10743?
About 103.6484.
Is 10743 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 10743?
10743 is a semiprime: 3 × 3581, the product of two primes.