The number 38318
38318 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 23. Divisors (24): 1, 2, 7, 14, 17, 23, 34, 46, 49, 98, 119, 161, 238, 322, 391, 782 … 38318.
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How to work it out
- 1
What is special about 38318: a Harshad number: divisible by its digit sum 23.
- 2
38318 is composite. Its prime factorisation is
- 3
The divisors add up to 73872; without 38318 itself that is 35554, so 38318 is deficient (35554 is less than 38318). Euler's totient φ(38318) = 14784 numbers up to 38318 share no factor with it.
- 4
The digits of 38318 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38318 = 2 \times 7^{2} \times 17 \times 23 \]38318 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 73872 |
| Euler totient φ(n) | 14784 |
| Square | 1468269124 |
| Cube | 56261136293432 |
| Square root | 195.749840 (= 7√782) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.8318 × |
38318 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and eighteen |
| Binary (base 2) | 1001010110101110 |
| Octal (base 8) | 112656 |
| Hexadecimal (base 16) | 95AE |
| Base 3 | 1221120012 |
| As time | 38318 seconds = 10 h 38 min 38 s |
Is 38318 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38318 ÷ 2 = 19159) | 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 | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38318 ÷ 7 = 5474) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38318 a prime number?
No. 38318 = 2 × × 17 × 23, so it is divisible by 2.
What are the factors of 38318?
1, 2, 7, 14, 17, 23, 34, 46, 49, 98, 119, 161, 238, 322, 391, 782, 833, 1127, 1666, 2254, 2737, 5474, 19159, 38318.
What is 38318 in binary?
1001010110101110 (hexadecimal 95AE, octal 112656).
What is the square root of 38318?
About 195.7498, exactly 7√782.
Is 38318 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38318?
38318 is a Harshad number: divisible by its digit sum 23.