The number 38750
38750 is a composite number with 20 divisors. Its prime factorisation is 2 × × 31. Divisors (20): 1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 625, 775, 1250, 1550 … 38750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38750 is composite. Its prime factorisation is
- 3
The divisors add up to 74976; without 38750 itself that is 36226, so 38750 is deficient (36226 is less than 38750). Euler's totient φ(38750) = 15000 numbers up to 38750 share no factor with it.
- 4
The digits of 38750 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38750 = 2 \times 5^{4} \times 31 \]38750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 74976 |
| Euler totient φ(n) | 15000 |
| Square | 1501562500 |
| Cube | 58185546875000 |
| Square root | 196.850197 (= 25√62) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.875 × |
38750 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and fifty |
| Binary (base 2) | 1001011101011110 |
| Octal (base 8) | 113536 |
| Hexadecimal (base 16) | 975E |
| Base 3 | 1222011012 |
| As time | 38750 seconds = 10 h 45 min 50 s |
Is 38750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38750 ÷ 2 = 19375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (38750 ÷ 5 = 7750) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38750 ÷ 10 = 3875) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38750 a prime number?
No. 38750 = 2 × × 31, so it is divisible by 2.
What are the factors of 38750?
1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 625, 775, 1250, 1550, 3875, 7750, 19375, 38750.
What is 38750 in binary?
1001011101011110 (hexadecimal 975E, octal 113536).
What is the square root of 38750?
About 196.8502, exactly 25√62.
Is 38750 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38750?
It is a composite number with 20 divisors.