The number 38950
38950 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 41. Divisors (24): 1, 2, 5, 10, 19, 25, 38, 41, 50, 82, 95, 190, 205, 410, 475, 779 … 38950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38950: a Harshad number: divisible by its digit sum 25.
- 2
38950 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 38950 itself that is 39170, so 38950 is abundant (39170 is more than 38950). Euler's totient φ(38950) = 14400 numbers up to 38950 share no factor with it.
- 4
The digits of 38950 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38950 = 2 \times 5^{2} \times 19 \times 41 \]38950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78120 |
| Euler totient φ(n) | 14400 |
| Square | 1517102500 |
| Cube | 59091142375000 |
| Square root | 197.357544 (= 5√1558) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.895 × |
38950 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and fifty |
| Binary (base 2) | 1001100000100110 |
| Octal (base 8) | 114046 |
| Hexadecimal (base 16) | 9826 |
| Base 3 | 1222102121 |
| As time | 38950 seconds = 10 h 49 min 10 s |
Is 38950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38950 ÷ 2 = 19475) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38950 ÷ 5 = 7790) | 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 | No (remainder 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38950 ÷ 10 = 3895) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38950 a prime number?
No. 38950 = 2 × × 19 × 41, so it is divisible by 2.
What are the factors of 38950?
1, 2, 5, 10, 19, 25, 38, 41, 50, 82, 95, 190, 205, 410, 475, 779, 950, 1025, 1558, 2050, 3895, 7790, 19475, 38950.
What is 38950 in binary?
1001100000100110 (hexadecimal 9826, octal 114046).
What is the square root of 38950?
About 197.3575, exactly 5√1558.
Is 38950 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38950?
38950 is a Harshad number: divisible by its digit sum 25.