The number 11743
11743 is the 1409th prime number. Its only divisors are 1 and 11743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11743: the 1409th prime number.
- 2
11743 is prime, so its only factors are 1 and 11743. It is the 1409th prime; the next prime is 11777 and the one before is 11731.
- 3
The divisors add up to 11744; without 11743 itself that is 1, so 11743 is deficient (1 is less than 11743). Euler's totient φ(11743) = 11742 numbers up to 11743 share no factor with it.
- 4
The digits of 11743 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 81 steps to reach 1.
11743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11744 |
| Euler totient φ(n) | 11742 |
| Square | 137898049 |
| Cube | 1619336789407 |
| Square root | 108.365124 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1743 × |
11743 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and forty-three |
| Binary (base 2) | 10110111011111 |
| Octal (base 8) | 26737 |
| Hexadecimal (base 16) | 2DDF |
| Base 3 | 121002221 |
| As time | 11743 seconds = 3 h 15 min 43 s |
Is 11743 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 4) | 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 6) | 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 11743 a prime number?
Yes. 11743 is divisible only by 1 and itself.
What are the factors of 11743?
1, 11743.
What is 11743 in binary?
10110111011111 (hexadecimal 2DDF, octal 26737).
What is the square root of 11743?
About 108.3651.
Is 11743 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11743?
11743 is the 1409th prime number.