The number 34034
34034 is a composite number with 32 divisors. Its prime factorisation is 2 × 7 × 11 × 13 × 17. Divisors (32): 1, 2, 7, 11, 13, 14, 17, 22, 26, 34, 77, 91, 119, 143, 154, 182 … 34034.
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How to work it out
- 1
What is special about 34034: a Harshad number: divisible by its digit sum 14.
- 2
34034 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 34034 itself that is 38542, so 34034 is abundant (38542 is more than 34034). Euler's totient φ(34034) = 11520 numbers up to 34034 share no factor with it.
- 4
The digits of 34034 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34034 = 2 \times 7 \times 11 \times 13 \times 17 \]
34034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 11520 |
| Square | 1158313156 |
| Cube | 39422029951304 |
| Square root | 184.483062 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.4034 × |
34034 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and thirty-four |
| Binary (base 2) | 1000010011110010 |
| Octal (base 8) | 102362 |
| Hexadecimal (base 16) | 84F2 |
| Base 3 | 1201200112 |
| As time | 34034 seconds = 9 h 27 min 14 s |
Is 34034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (34034 ÷ 2 = 17017) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (34034 ÷ 7 = 4862) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (34034 ÷ 11 = 3094) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34034 a prime number?
No. 34034 = 2 × 7 × 11 × 13 × 17, so it is divisible by 2.
What are the factors of 34034?
1, 2, 7, 11, 13, 14, 17, 22, 26, 34, 77, 91, 119, 143, 154, 182, 187, 221, 238, 286, 374, 442, 1001, 1309, 1547, 2002, 2431, 2618, 3094, 4862, 17017, 34034.
What is 34034 in binary?
1000010011110010 (hexadecimal 84F2, octal 102362).
What is the square root of 34034?
About 184.4831.
Is 34034 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 34034?
34034 is a Harshad number: divisible by its digit sum 14.