The number 38168
38168 is a composite number with 16 divisors. Its prime factorisation is × 13 × 367. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 367, 734, 1468, 2936, 4771, 9542, 19084, 38168.
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How to work it out
- 1
What is special about 38168: a Harshad number: divisible by its digit sum 26.
- 2
38168 is composite. Its prime factorisation is
- 3
The divisors add up to 77280; without 38168 itself that is 39112, so 38168 is abundant (39112 is more than 38168). Euler's totient φ(38168) = 17568 numbers up to 38168 share no factor with it.
- 4
The digits of 38168 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38168 = 2^{3} \times 13 \times 367 \]38168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77280 |
| Euler totient φ(n) | 17568 |
| Square | 1456796224 |
| Cube | 55602998277632 |
| Square root | 195.366323 (= 2√9542) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8168 × |
38168 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and sixty-eight |
| Binary (base 2) | 1001010100011000 |
| Octal (base 8) | 112430 |
| Hexadecimal (base 16) | 9518 |
| Base 3 | 1221100122 |
| As time | 38168 seconds = 10 h 36 min 8 s |
Is 38168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38168 ÷ 2 = 19084) | 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 | Yes (38168 ÷ 4 = 9542) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 4) | 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 | Yes (38168 ÷ 8 = 4771) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38168 a prime number?
No. 38168 = × 13 × 367, so it is divisible by 2.
What are the factors of 38168?
1, 2, 4, 8, 13, 26, 52, 104, 367, 734, 1468, 2936, 4771, 9542, 19084, 38168.
What is 38168 in binary?
1001010100011000 (hexadecimal 9518, octal 112430).
What is the square root of 38168?
About 195.3663, exactly 2√9542.
Is 38168 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38168?
38168 is a Harshad number: divisible by its digit sum 26.