The number 34006
34006 is a composite number with 12 divisors. Its prime factorisation is 2 × × 347. Divisors (12): 1, 2, 7, 14, 49, 98, 347, 694, 2429, 4858, 17003, 34006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34006 is composite. Its prime factorisation is
- 3
The divisors add up to 59508; without 34006 itself that is 25502, so 34006 is deficient (25502 is less than 34006). Euler's totient φ(34006) = 14532 numbers up to 34006 share no factor with it.
- 4
The digits of 34006 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34006 = 2 \times 7^{2} \times 347 \]34006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59508 |
| Euler totient φ(n) | 14532 |
| Square | 1156408036 |
| Cube | 39324811672216 |
| Square root | 184.407158 (= 7√694) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.4006 × |
34006 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and six |
| Binary (base 2) | 1000010011010110 |
| Octal (base 8) | 102326 |
| Hexadecimal (base 16) | 84D6 |
| Base 3 | 1201122111 |
| As time | 34006 seconds = 9 h 26 min 46 s |
Is 34006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34006 ÷ 2 = 17003) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34006 ÷ 7 = 4858) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34006 a prime number?
No. 34006 = 2 × × 347, so it is divisible by 2.
What are the factors of 34006?
1, 2, 7, 14, 49, 98, 347, 694, 2429, 4858, 17003, 34006.
What is 34006 in binary?
1000010011010110 (hexadecimal 84D6, octal 102326).
What is the square root of 34006?
About 184.4072, exactly 7√694.
Is 34006 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 34006?
It is a composite number with 12 divisors.