The number 38316
38316 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 103. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 103, 124, 186, 206, 309, 372, 412 … 38316.
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How to work it out
- 1
38316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38316 is composite. Its prime factorisation is
- 3
The divisors add up to 93184; without 38316 itself that is 54868, so 38316 is abundant (54868 is more than 38316). Euler's totient φ(38316) = 12240 numbers up to 38316 share no factor with it.
- 4
The digits of 38316 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38316 = 2^{2} \times 3 \times 31 \times 103 \]38316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 93184 |
| Euler totient φ(n) | 12240 |
| Square | 1468115856 |
| Cube | 56252327138496 |
| Square root | 195.744732 (= 2√9579) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.8316 × |
38316 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and sixteen |
| Binary (base 2) | 1001010110101100 |
| Octal (base 8) | 112654 |
| Hexadecimal (base 16) | 95AC |
| Base 3 | 1221120010 |
| As time | 38316 seconds = 10 h 38 min 36 s |
Is 38316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38316 ÷ 2 = 19158) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38316 ÷ 3 = 12772) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38316 ÷ 4 = 9579) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38316 ÷ 6 = 6386) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38316 ÷ 12 = 3193) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38316 a prime number?
No. 38316 = × 3 × 31 × 103, so it is divisible by 2.
What are the factors of 38316?
1, 2, 3, 4, 6, 12, 31, 62, 93, 103, 124, 186, 206, 309, 372, 412, 618, 1236, 3193, 6386, 9579, 12772, 19158, 38316.
What is 38316 in binary?
1001010110101100 (hexadecimal 95AC, octal 112654).
What is the square root of 38316?
About 195.7447, exactly 2√9579.
Is 38316 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38316?
It is a composite number with 24 divisors.