The number 38850
38850 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 7 × 37. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 37, 42, 50 … 38850.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38850 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38850 is composite. Its prime factorisation is
- 3
The divisors add up to 113088; without 38850 itself that is 74238, so 38850 is abundant (74238 is more than 38850). Euler's totient φ(38850) = 8640 numbers up to 38850 share no factor with it.
- 4
The digits of 38850 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38850 = 2 \times 3 \times 5^{2} \times 7 \times 37 \]38850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 113088 |
| Euler totient φ(n) | 8640 |
| Square | 1509322500 |
| Cube | 58637179125000 |
| Square root | 197.104033 (= 5√1554) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.885 × |
38850 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and fifty |
| Binary (base 2) | 1001011111000010 |
| Octal (base 8) | 113702 |
| Hexadecimal (base 16) | 97C2 |
| Base 3 | 1222021220 |
| As time | 38850 seconds = 10 h 47 min 30 s |
Is 38850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38850 ÷ 2 = 19425) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38850 ÷ 3 = 12950) | 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 (38850 ÷ 5 = 7770) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38850 ÷ 6 = 6475) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38850 ÷ 7 = 5550) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38850 ÷ 10 = 3885) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38850 a prime number?
No. 38850 = 2 × 3 × × 7 × 37, so it is divisible by 2.
What are the factors of 38850?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 37, 42, 50, 70, 74, 75, 105, 111, 150, 175, 185, 210, 222, 259, 350, 370, 518, 525, 555, 777, 925, 1050, 1110, 1295, 1554, 1850, 2590, 2775, 3885, 5550, 6475, 7770, 12950, 19425, 38850.
What is 38850 in binary?
1001011111000010 (hexadecimal 97C2, octal 113702).
What is the square root of 38850?
About 197.1040, exactly 5√1554.
Is 38850 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38850?
It is a composite number with 48 divisors.