The number 34849
34849 is a twin prime (34847 and 34849 are both prime) and the 3721st prime number. Its only divisors are 1 and 34849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34849: a twin prime (34847 and 34849 are both prime); the 3721st prime number.
- 2
34849 is prime, so its only factors are 1 and 34849. It is the 3721st prime; the next prime is 34871 and the one before is 34847.
- 3
The divisors add up to 34850; without 34849 itself that is 1, so 34849 is deficient (1 is less than 34849). Euler's totient φ(34849) = 34848 numbers up to 34849 share no factor with it.
- 4
The digits of 34849 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
34849 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34850 |
| Euler totient φ(n) | 34848 |
| Square | 1214452801 |
| Cube | 42322465662049 |
| Square root | 186.678869 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.4849 × |
34849 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand eight hundred and forty-nine |
| Binary (base 2) | 1000100000100001 |
| Octal (base 8) | 104041 |
| Hexadecimal (base 16) | 8821 |
| Base 3 | 1202210201 |
| As time | 34849 seconds = 9 h 40 min 49 s |
Is 34849 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 3) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34849 a prime number?
Yes. 34849 is divisible only by 1 and itself.
What are the factors of 34849?
1, 34849.
What is 34849 in binary?
1000100000100001 (hexadecimal 8821, octal 104041).
What is the square root of 34849?
About 186.6789.
Is 34849 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 34849?
34849 is a twin prime (34847 and 34849 are both prime); the 3721st prime number.