The number 34029
34029 is a composite number with 12 divisors. Its prime factorisation is × 19 × 199. Divisors (12): 1, 3, 9, 19, 57, 171, 199, 597, 1791, 3781, 11343, 34029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34029 is composite. Its prime factorisation is
- 3
The divisors add up to 52000; without 34029 itself that is 17971, so 34029 is deficient (17971 is less than 34029). Euler's totient φ(34029) = 21384 numbers up to 34029 share no factor with it.
- 4
The digits of 34029 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34029 = 3^{2} \times 19 \times 199 \]34029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 52000 |
| Euler totient φ(n) | 21384 |
| Square | 1157972841 |
| Cube | 39404657806389 |
| Square root | 184.469510 (= 3√3781) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.4029 × |
34029 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand and twenty-nine |
| Binary (base 2) | 1000010011101101 |
| Octal (base 8) | 102355 |
| Hexadecimal (base 16) | 84ED |
| Base 3 | 1201200100 |
| As time | 34029 seconds = 9 h 27 min 9 s |
Is 34029 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 | Yes (34029 ÷ 3 = 11343) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (34029 ÷ 9 = 3781) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 34029 a prime number?
No. 34029 = × 19 × 199, so it is divisible by 3.
What are the factors of 34029?
1, 3, 9, 19, 57, 171, 199, 597, 1791, 3781, 11343, 34029.
What is 34029 in binary?
1000010011101101 (hexadecimal 84ED, octal 102355).
What is the square root of 34029?
About 184.4695, exactly 3√3781.
Is 34029 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 34029?
It is a composite number with 12 divisors.