The number 38368
38368 is a composite number with 24 divisors. Its prime factorisation is × 11 × 109. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 109, 176, 218, 352, 436, 872 … 38368.
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How to work it out
- 1
38368 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38368 is composite. Its prime factorisation is
- 3
The divisors add up to 83160; without 38368 itself that is 44792, so 38368 is abundant (44792 is more than 38368). Euler's totient φ(38368) = 17280 numbers up to 38368 share no factor with it.
- 4
The digits of 38368 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38368 = 2^{5} \times 11 \times 109 \]38368 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 83160 |
| Euler totient φ(n) | 17280 |
| Square | 1472103424 |
| Cube | 56481664172032 |
| Square root | 195.877513 (= 4√2398) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8368 × |
38368 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and sixty-eight |
| Binary (base 2) | 1001010111100000 |
| Octal (base 8) | 112740 |
| Hexadecimal (base 16) | 95E0 |
| Base 3 | 1221122001 |
| As time | 38368 seconds = 10 h 39 min 28 s |
Is 38368 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38368 ÷ 2 = 19184) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38368 ÷ 4 = 9592) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (38368 ÷ 8 = 4796) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (38368 ÷ 11 = 3488) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38368 a prime number?
No. 38368 = × 11 × 109, so it is divisible by 2.
What are the factors of 38368?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 109, 176, 218, 352, 436, 872, 1199, 1744, 2398, 3488, 4796, 9592, 19184, 38368.
What is 38368 in binary?
1001010111100000 (hexadecimal 95E0, octal 112740).
What is the square root of 38368?
About 195.8775, exactly 4√2398.
Is 38368 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38368?
It is a composite number with 24 divisors.