The number 35729
35729 is a twin prime (35729 and 35731 are both prime) and the 3796th prime number. Its only divisors are 1 and 35729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35729: a twin prime (35729 and 35731 are both prime); the 3796th prime number.
- 2
35729 is prime, so its only factors are 1 and 35729. It is the 3796th prime; the next prime is 35731 and the one before is 35677.
- 3
The divisors add up to 35730; without 35729 itself that is 1, so 35729 is deficient (1 is less than 35729). Euler's totient φ(35729) = 35728 numbers up to 35729 share no factor with it.
- 4
The digits of 35729 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
35729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35730 |
| Euler totient φ(n) | 35728 |
| Square | 1276561441 |
| Cube | 45610263725489 |
| Square root | 189.021163 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5729 × |
35729 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and twenty-nine |
| Binary (base 2) | 1000101110010001 |
| Octal (base 8) | 105621 |
| Hexadecimal (base 16) | 8B91 |
| Base 3 | 1211000022 |
| As time | 35729 seconds = 9 h 55 min 29 s |
Is 35729 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 1) | 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 8) | 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 1) | 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 35729 a prime number?
Yes. 35729 is divisible only by 1 and itself.
What are the factors of 35729?
1, 35729.
What is 35729 in binary?
1000101110010001 (hexadecimal 8B91, octal 105621).
What is the square root of 35729?
About 189.0212.
Is 35729 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 35729?
35729 is a twin prime (35729 and 35731 are both prime); the 3796th prime number.