The number 38034
38034 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2113. Divisors (12): 1, 2, 3, 6, 9, 18, 2113, 4226, 6339, 12678, 19017, 38034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38034: a Harshad number: divisible by its digit sum 18.
- 2
38034 is composite. Its prime factorisation is
- 3
The divisors add up to 82446; without 38034 itself that is 44412, so 38034 is abundant (44412 is more than 38034). Euler's totient φ(38034) = 12672 numbers up to 38034 share no factor with it.
- 4
The digits of 38034 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 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38034 = 2 \times 3^{2} \times 2113 \]38034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82446 |
| Euler totient φ(n) | 12672 |
| Square | 1446585156 |
| Cube | 55019419823304 |
| Square root | 195.023076 (= 3√4226) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8034 × |
38034 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and thirty-four |
| Binary (base 2) | 1001010010010010 |
| Octal (base 8) | 112222 |
| Hexadecimal (base 16) | 9492 |
| Base 3 | 1221011200 |
| As time | 38034 seconds = 10 h 33 min 54 s |
Is 38034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38034 ÷ 2 = 19017) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38034 ÷ 3 = 12678) | 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 | Yes (38034 ÷ 6 = 6339) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (38034 ÷ 9 = 4226) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38034 a prime number?
No. 38034 = 2 × × 2113, so it is divisible by 2.
What are the factors of 38034?
1, 2, 3, 6, 9, 18, 2113, 4226, 6339, 12678, 19017, 38034.
What is 38034 in binary?
1001010010010010 (hexadecimal 9492, octal 112222).
What is the square root of 38034?
About 195.0231, exactly 3√4226.
Is 38034 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38034?
38034 is a Harshad number: divisible by its digit sum 18.