The number 38500
38500 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 11. Divisors (48): 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55 … 38500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38500 is composite. Its prime factorisation is
- 3
The divisors add up to 104832; without 38500 itself that is 66332, so 38500 is abundant (66332 is more than 38500). Euler's totient φ(38500) = 12000 numbers up to 38500 share no factor with it.
- 4
The digits of 38500 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38500 = 2^{2} \times 5^{3} \times 7 \times 11 \]38500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 104832 |
| Euler totient φ(n) | 12000 |
| Square | 1482250000 |
| Cube | 57066625000000 |
| Square root | 196.214169 (= 10√385) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.85 × |
38500 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred |
| Binary (base 2) | 1001011001100100 |
| Octal (base 8) | 113144 |
| Hexadecimal (base 16) | 9664 |
| Base 3 | 1221210221 |
| As time | 38500 seconds = 10 h 41 min 40 s |
Is 38500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38500 ÷ 2 = 19250) | 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 (38500 ÷ 4 = 9625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38500 ÷ 5 = 7700) | 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 | Yes (38500 ÷ 7 = 5500) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38500 ÷ 10 = 3850) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38500 ÷ 11 = 3500) | 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 38500 a prime number?
No. 38500 = × × 7 × 11, so it is divisible by 2.
What are the factors of 38500?
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 125, 140, 154, 175, 220, 250, 275, 308, 350, 385, 500, 550, 700, 770, 875, 1100, 1375, 1540, 1750, 1925, 2750, 3500, 3850, 5500, 7700, 9625, 19250, 38500.
What is 38500 in binary?
1001011001100100 (hexadecimal 9664, octal 113144).
What is the square root of 38500?
About 196.2142, exactly 10√385.
Is 38500 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38500?
It is a composite number with 48 divisors.