The number 12743
12743 is the 1521st prime number. Its only divisors are 1 and 12743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12743: the 1521st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12743 is prime, so its only factors are 1 and 12743. It is the 1521st prime; the next prime is 12757 and the one before is 12739.
- 3
The divisors add up to 12744; without 12743 itself that is 1, so 12743 is deficient (1 is less than 12743). Euler's totient φ(12743) = 12742 numbers up to 12743 share no factor with it.
- 4
The digits of 12743 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
12743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12744 |
| Euler totient φ(n) | 12742 |
| Square | 162384049 |
| Cube | 2069259936407 |
| Square root | 112.884897 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.2743 × |
12743 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and forty-three |
| Binary (base 2) | 11000111000111 |
| Octal (base 8) | 30707 |
| Hexadecimal (base 16) | 31C7 |
| Base 3 | 122110222 |
| As time | 12743 seconds = 3 h 32 min 23 s |
Is 12743 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 12743 a prime number?
Yes. 12743 is divisible only by 1 and itself.
What are the factors of 12743?
1, 12743.
What is 12743 in binary?
11000111000111 (hexadecimal 31C7, octal 30707).
What is the square root of 12743?
About 112.8849.
Is 12743 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 12743?
12743 is the 1521st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.