The number 38394
38394 is a composite number with 24 divisors. Its prime factorisation is 2 × × 79. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 79, 81, 158, 162, 237, 243, 474, 486 … 38394.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38394: a Harshad number: divisible by its digit sum 27.
- 2
38394 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 38394 itself that is 48966, so 38394 is abundant (48966 is more than 38394). Euler's totient φ(38394) = 12636 numbers up to 38394 share no factor with it.
- 4
The digits of 38394 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38394 = 2 \times 3^{5} \times 79 \]38394 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 12636 |
| Square | 1474099236 |
| Cube | 56596566066984 |
| Square root | 195.943870 (= 9√474) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8394 × |
38394 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and ninety-four |
| Binary (base 2) | 1001010111111010 |
| Octal (base 8) | 112772 |
| Hexadecimal (base 16) | 95FA |
| Base 3 | 1221200000 |
| As time | 38394 seconds = 10 h 39 min 54 s |
Is 38394 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38394 ÷ 2 = 19197) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38394 ÷ 3 = 12798) | 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 (38394 ÷ 6 = 6399) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (38394 ÷ 9 = 4266) | 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 4) | 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 38394 a prime number?
No. 38394 = 2 × × 79, so it is divisible by 2.
What are the factors of 38394?
1, 2, 3, 6, 9, 18, 27, 54, 79, 81, 158, 162, 237, 243, 474, 486, 711, 1422, 2133, 4266, 6399, 12798, 19197, 38394.
What is 38394 in binary?
1001010111111010 (hexadecimal 95FA, octal 112772).
What is the square root of 38394?
About 195.9439, exactly 9√474.
Is 38394 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38394?
38394 is a Harshad number: divisible by its digit sum 27.