The number 38223
38223 is a composite number with 12 divisors. Its prime factorisation is × 31 × 137. Divisors (12): 1, 3, 9, 31, 93, 137, 279, 411, 1233, 4247, 12741, 38223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38223 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38223 is composite. Its prime factorisation is
- 3
The divisors add up to 57408; without 38223 itself that is 19185, so 38223 is deficient (19185 is less than 38223). Euler's totient φ(38223) = 24480 numbers up to 38223 share no factor with it.
- 4
The digits of 38223 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38223 = 3^{2} \times 31 \times 137 \]38223 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57408 |
| Euler totient φ(n) | 24480 |
| Square | 1460997729 |
| Cube | 55843716195567 |
| Square root | 195.507033 (= 3√4247) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8223 × |
38223 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and twenty-three |
| Binary (base 2) | 1001010101001111 |
| Octal (base 8) | 112517 |
| Hexadecimal (base 16) | 954F |
| Base 3 | 1221102200 |
| As time | 38223 seconds = 10 h 37 min 3 s |
Is 38223 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38223 ÷ 3 = 12741) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38223 ÷ 9 = 4247) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38223 a prime number?
No. 38223 = × 31 × 137, so it is divisible by 3.
What are the factors of 38223?
1, 3, 9, 31, 93, 137, 279, 411, 1233, 4247, 12741, 38223.
What is 38223 in binary?
1001010101001111 (hexadecimal 954F, octal 112517).
What is the square root of 38223?
About 195.5070, exactly 3√4247.
Is 38223 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38223?
It is a composite number with 12 divisors.