The number 38178
38178 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 101. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 101, 126, 189 … 38178.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38178: a Harshad number: divisible by its digit sum 27.
- 2
38178 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 38178 itself that is 59742, so 38178 is abundant (59742 is more than 38178). Euler's totient φ(38178) = 10800 numbers up to 38178 share no factor with it.
- 4
The digits of 38178 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38178 = 2 \times 3^{3} \times 7 \times 101 \]38178 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 10800 |
| Square | 1457559684 |
| Cube | 55646713615752 |
| Square root | 195.391914 (= 3√4242) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8178 × |
38178 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and seventy-eight |
| Binary (base 2) | 1001010100100010 |
| Octal (base 8) | 112442 |
| Hexadecimal (base 16) | 9522 |
| Base 3 | 1221101000 |
| As time | 38178 seconds = 10 h 36 min 18 s |
Is 38178 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38178 ÷ 2 = 19089) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38178 ÷ 3 = 12726) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38178 ÷ 6 = 6363) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38178 ÷ 7 = 5454) | 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 (38178 ÷ 9 = 4242) | 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 8) | 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 38178 a prime number?
No. 38178 = 2 × × 7 × 101, so it is divisible by 2.
What are the factors of 38178?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 101, 126, 189, 202, 303, 378, 606, 707, 909, 1414, 1818, 2121, 2727, 4242, 5454, 6363, 12726, 19089, 38178.
What is 38178 in binary?
1001010100100010 (hexadecimal 9522, octal 112442).
What is the square root of 38178?
About 195.3919, exactly 3√4242.
Is 38178 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38178?
38178 is a Harshad number: divisible by its digit sum 27.