The number 34367
34367 is a twin prime (34367 and 34369 are both prime) and the 3673rd prime number. Its only divisors are 1 and 34367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34367: a twin prime (34367 and 34369 are both prime); the 3673rd prime number.
- 2
34367 is prime, so its only factors are 1 and 34367. It is the 3673rd prime; the next prime is 34369 and the one before is 34361.
- 3
The divisors add up to 34368; without 34367 itself that is 1, so 34367 is deficient (1 is less than 34367). Euler's totient φ(34367) = 34366 numbers up to 34367 share no factor with it.
- 4
The digits of 34367 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
34367 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34368 |
| Euler totient φ(n) | 34366 |
| Square | 1181090689 |
| Cube | 40590543708863 |
| Square root | 185.383387 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.4367 × |
34367 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand three hundred and sixty-seven |
| Binary (base 2) | 1000011000111111 |
| Octal (base 8) | 103077 |
| Hexadecimal (base 16) | 863F |
| Base 3 | 1202010212 |
| As time | 34367 seconds = 9 h 32 min 47 s |
Is 34367 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34367 a prime number?
Yes. 34367 is divisible only by 1 and itself.
What are the factors of 34367?
1, 34367.
What is 34367 in binary?
1000011000111111 (hexadecimal 863F, octal 103077).
What is the square root of 34367?
About 185.3834.
Is 34367 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 34367?
34367 is a twin prime (34367 and 34369 are both prime); the 3673rd prime number.