The number 38729
38729 is the 4082nd prime number. Its only divisors are 1 and 38729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38729: the 4082nd prime number.
- 2
38729 is prime, so its only factors are 1 and 38729. It is the 4082nd prime; the next prime is 38737 and the one before is 38723.
- 3
The divisors add up to 38730; without 38729 itself that is 1, so 38729 is deficient (1 is less than 38729). Euler's totient φ(38729) = 38728 numbers up to 38729 share no factor with it.
- 4
The digits of 38729 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
38729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38730 |
| Euler totient φ(n) | 38728 |
| Square | 1499935441 |
| Cube | 58090999694489 |
| Square root | 196.796850 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8729 × |
38729 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and twenty-nine |
| Binary (base 2) | 1001011101001001 |
| Octal (base 8) | 113511 |
| Hexadecimal (base 16) | 9749 |
| Base 3 | 1222010102 |
| As time | 38729 seconds = 10 h 45 min 29 s |
Is 38729 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38729 a prime number?
Yes. 38729 is divisible only by 1 and itself.
What are the factors of 38729?
1, 38729.
What is 38729 in binary?
1001011101001001 (hexadecimal 9749, octal 113511).
What is the square root of 38729?
About 196.7968.
Is 38729 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38729?
38729 is the 4082nd prime number.