The number 34729
34729 is the 3709th prime number. Its only divisors are 1 and 34729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34729: the 3709th prime number.
- 2
34729 is prime, so its only factors are 1 and 34729. It is the 3709th prime; the next prime is 34739 and the one before is 34721.
- 3
The divisors add up to 34730; without 34729 itself that is 1, so 34729 is deficient (1 is less than 34729). Euler's totient φ(34729) = 34728 numbers up to 34729 share no factor with it.
- 4
The digits of 34729 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
34729 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34730 |
| Euler totient φ(n) | 34728 |
| Square | 1206103441 |
| Cube | 41886766402489 |
| Square root | 186.357184 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4729 × |
34729 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand seven hundred and twenty-nine |
| Binary (base 2) | 1000011110101001 |
| Octal (base 8) | 103651 |
| Hexadecimal (base 16) | 87A9 |
| Base 3 | 1202122021 |
| As time | 34729 seconds = 9 h 38 min 49 s |
Is 34729 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34729 a prime number?
Yes. 34729 is divisible only by 1 and itself.
What are the factors of 34729?
1, 34729.
What is 34729 in binary?
1000011110101001 (hexadecimal 87A9, octal 103651).
What is the square root of 34729?
About 186.3572.
Is 34729 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 34729?
34729 is the 3709th prime number.