The number 38900
38900 is a composite number with 18 divisors. Its prime factorisation is × × 389. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 389, 778, 1556, 1945, 3890, 7780, 9725 … 38900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38900: a Harshad number: divisible by its digit sum 20.
- 2
38900 is composite. Its prime factorisation is
- 3
The divisors add up to 84630; without 38900 itself that is 45730, so 38900 is abundant (45730 is more than 38900). Euler's totient φ(38900) = 15520 numbers up to 38900 share no factor with it.
- 4
The digits of 38900 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38900 = 2^{2} \times 5^{2} \times 389 \]38900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 84630 |
| Euler totient φ(n) | 15520 |
| Square | 1513210000 |
| Cube | 58863869000000 |
| Square root | 197.230829 (= 10√389) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.89 × |
38900 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred |
| Binary (base 2) | 1001011111110100 |
| Octal (base 8) | 113764 |
| Hexadecimal (base 16) | 97F4 |
| Base 3 | 1222100202 |
| As time | 38900 seconds = 10 h 48 min 20 s |
Is 38900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38900 ÷ 2 = 19450) | 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 | Yes (38900 ÷ 4 = 9725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38900 ÷ 5 = 7780) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38900 ÷ 10 = 3890) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38900 a prime number?
No. 38900 = × × 389, so it is divisible by 2.
What are the factors of 38900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 389, 778, 1556, 1945, 3890, 7780, 9725, 19450, 38900.
What is 38900 in binary?
1001011111110100 (hexadecimal 97F4, octal 113764).
What is the square root of 38900?
About 197.2308, exactly 10√389.
Is 38900 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38900?
38900 is a Harshad number: divisible by its digit sum 20.