The number 34949
34949 is the 3729th prime number. Its only divisors are 1 and 34949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34949: the 3729th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
34949 is prime, so its only factors are 1 and 34949. It is the 3729th prime; the next prime is 34961 and the one before is 34939.
- 3
The divisors add up to 34950; without 34949 itself that is 1, so 34949 is deficient (1 is less than 34949). Euler's totient φ(34949) = 34948 numbers up to 34949 share no factor with it.
- 4
The digits of 34949 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 142 steps to reach 1.
34949 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34950 |
| Euler totient φ(n) | 34948 |
| Square | 1221432601 |
| Cube | 42687847972349 |
| Square root | 186.946516 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4949 × |
34949 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand nine hundred and forty-nine |
| Binary (base 2) | 1000100010000101 |
| Octal (base 8) | 104205 |
| Hexadecimal (base 16) | 8885 |
| Base 3 | 1202221102 |
| As time | 34949 seconds = 9 h 42 min 29 s |
Is 34949 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 5) | 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 2) | 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 34949 a prime number?
Yes. 34949 is divisible only by 1 and itself.
What are the factors of 34949?
1, 34949.
What is 34949 in binary?
1000100010000101 (hexadecimal 8885, octal 104205).
What is the square root of 34949?
About 186.9465.
Is 34949 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 34949?
34949 is the 3729th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.