The number 38800
38800 is a composite number with 30 divisors. Its prime factorisation is × × 97. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 97, 100, 194, 200 … 38800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38800 is composite. Its prime factorisation is
- 3
The divisors add up to 94178; without 38800 itself that is 55378, so 38800 is abundant (55378 is more than 38800). Euler's totient φ(38800) = 15360 numbers up to 38800 share no factor with it.
- 4
The digits of 38800 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38800 = 2^{4} \times 5^{2} \times 97 \]38800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 94178 |
| Euler totient φ(n) | 15360 |
| Square | 1505440000 |
| Cube | 58411072000000 |
| Square root | 196.977156 (= 20√97) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.88 × |
38800 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred |
| Binary (base 2) | 1001011110010000 |
| Octal (base 8) | 113620 |
| Hexadecimal (base 16) | 9790 |
| Base 3 | 1222020001 |
| As time | 38800 seconds = 10 h 46 min 40 s |
Is 38800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38800 ÷ 2 = 19400) | 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 (38800 ÷ 4 = 9700) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38800 ÷ 5 = 7760) | 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 6) | 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 | Yes (38800 ÷ 8 = 4850) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38800 ÷ 10 = 3880) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 38800 a prime number?
No. 38800 = × × 97, so it is divisible by 2.
What are the factors of 38800?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 97, 100, 194, 200, 388, 400, 485, 776, 970, 1552, 1940, 2425, 3880, 4850, 7760, 9700, 19400, 38800.
What is 38800 in binary?
1001011110010000 (hexadecimal 9790, octal 113620).
What is the square root of 38800?
About 196.9772, exactly 20√97.
Is 38800 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38800?
It is a composite number with 30 divisors.