The number 38723
38723 is the 4081st prime number. Its only divisors are 1 and 38723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38723: the 4081st prime number.
- 2
38723 is prime, so its only factors are 1 and 38723. It is the 4081st prime; the next prime is 38729 and the one before is 38713.
- 3
The divisors add up to 38724; without 38723 itself that is 1, so 38723 is deficient (1 is less than 38723). Euler's totient φ(38723) = 38722 numbers up to 38723 share no factor with it.
- 4
The digits of 38723 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
38723 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38724 |
| Euler totient φ(n) | 38722 |
| Square | 1499470729 |
| Cube | 58064005039067 |
| Square root | 196.781605 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8723 × |
38723 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and twenty-three |
| Binary (base 2) | 1001011101000011 |
| Octal (base 8) | 113503 |
| Hexadecimal (base 16) | 9743 |
| Base 3 | 1222010012 |
| As time | 38723 seconds = 10 h 45 min 23 s |
Is 38723 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 38723 a prime number?
Yes. 38723 is divisible only by 1 and itself.
What are the factors of 38723?
1, 38723.
What is 38723 in binary?
1001011101000011 (hexadecimal 9743, octal 113503).
What is the square root of 38723?
About 196.7816.
Is 38723 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38723?
38723 is the 4081st prime number.