The number 38550
38550 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 257. Divisors (24): 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 257, 514, 771, 1285 … 38550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38550 is composite. Its prime factorisation is
- 3
The divisors add up to 95976; without 38550 itself that is 57426, so 38550 is abundant (57426 is more than 38550). Euler's totient φ(38550) = 10240 numbers up to 38550 share no factor with it.
- 4
The digits of 38550 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38550 = 2 \times 3 \times 5^{2} \times 257 \]38550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95976 |
| Euler totient φ(n) | 10240 |
| Square | 1486102500 |
| Cube | 57289251375000 |
| Square root | 196.341539 (= 5√1542) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.855 × |
38550 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and fifty |
| Binary (base 2) | 1001011010010110 |
| Octal (base 8) | 113226 |
| Hexadecimal (base 16) | 9696 |
| Base 3 | 1221212210 |
| As time | 38550 seconds = 10 h 42 min 30 s |
Is 38550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38550 ÷ 2 = 19275) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38550 ÷ 3 = 12850) | 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 | Yes (38550 ÷ 5 = 7710) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38550 ÷ 6 = 6425) | 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 | No (remainder 6) | 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 | Yes (38550 ÷ 10 = 3855) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 38550 a prime number?
No. 38550 = 2 × 3 × × 257, so it is divisible by 2.
What are the factors of 38550?
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 257, 514, 771, 1285, 1542, 2570, 3855, 6425, 7710, 12850, 19275, 38550.
What is 38550 in binary?
1001011010010110 (hexadecimal 9696, octal 113226).
What is the square root of 38550?
About 196.3415, exactly 5√1542.
Is 38550 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38550?
It is a composite number with 24 divisors.