The number 23743
23743 is a twin prime (23741 and 23743 are both prime) and the 2640th prime number. Its only divisors are 1 and 23743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23743: a twin prime (23741 and 23743 are both prime); the 2640th prime number.
- 2
23743 is prime, so its only factors are 1 and 23743. It is the 2640th prime; the next prime is 23747 and the one before is 23741.
- 3
The divisors add up to 23744; without 23743 itself that is 1, so 23743 is deficient (1 is less than 23743). Euler's totient φ(23743) = 23742 numbers up to 23743 share no factor with it.
- 4
The digits of 23743 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 219 steps to reach 1.
23743 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 23744 |
| Euler totient φ(n) | 23742 |
| Square | 563730049 |
| Cube | 13384642553407 |
| Square root | 154.087637 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 219 |
| Scientific notation | 2.3743 × |
23743 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand seven hundred and forty-three |
| Binary (base 2) | 101110010111111 |
| Octal (base 8) | 56277 |
| Hexadecimal (base 16) | 5CBF |
| Base 3 | 1012120101 |
| As time | 23743 seconds = 6 h 35 min 43 s |
Is 23743 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23743 a prime number?
Yes. 23743 is divisible only by 1 and itself.
What are the factors of 23743?
1, 23743.
What is 23743 in binary?
101110010111111 (hexadecimal 5CBF, octal 56277).
What is the square root of 23743?
About 154.0876.
Is 23743 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 23743?
23743 is a twin prime (23741 and 23743 are both prime); the 2640th prime number.