The number 34267
34267 is the 3661st prime number. Its only divisors are 1 and 34267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 34267: the 3661st prime number.
- 2
34267 is prime, so its only factors are 1 and 34267. It is the 3661st prime; the next prime is 34273 and the one before is 34261.
- 3
The divisors add up to 34268; without 34267 itself that is 1, so 34267 is deficient (1 is less than 34267). Euler's totient φ(34267) = 34266 numbers up to 34267 share no factor with it.
- 4
The digits of 34267 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
34267 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 34268 |
| Euler totient φ(n) | 34266 |
| Square | 1174227289 |
| Cube | 40237246512163 |
| Square root | 185.113479 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4267 × |
34267 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand two hundred and sixty-seven |
| Binary (base 2) | 1000010111011011 |
| Octal (base 8) | 102733 |
| Hexadecimal (base 16) | 85DB |
| Base 3 | 1202000011 |
| As time | 34267 seconds = 9 h 31 min 7 s |
Is 34267 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 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34267 a prime number?
Yes. 34267 is divisible only by 1 and itself.
What are the factors of 34267?
1, 34267.
What is 34267 in binary?
1000010111011011 (hexadecimal 85DB, octal 102733).
What is the square root of 34267?
About 185.1135.
Is 34267 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 34267?
34267 is the 3661st prime number.