The number 38300
38300 is a composite number with 18 divisors. Its prime factorisation is × × 383. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 383, 766, 1532, 1915, 3830, 7660, 9575 … 38300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38300: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38300 is composite. Its prime factorisation is
- 3
The divisors add up to 83328; without 38300 itself that is 45028, so 38300 is abundant (45028 is more than 38300). Euler's totient φ(38300) = 15280 numbers up to 38300 share no factor with it.
- 4
The digits of 38300 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38300 = 2^{2} \times 5^{2} \times 383 \]38300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 83328 |
| Euler totient φ(n) | 15280 |
| Square | 1466890000 |
| Cube | 56181887000000 |
| Square root | 195.703858 (= 10√383) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.83 × |
38300 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred |
| Binary (base 2) | 1001010110011100 |
| Octal (base 8) | 112634 |
| Hexadecimal (base 16) | 959C |
| Base 3 | 1221112112 |
| As time | 38300 seconds = 10 h 38 min 20 s |
Is 38300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38300 ÷ 2 = 19150) | 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 (38300 ÷ 4 = 9575) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38300 ÷ 5 = 7660) | 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38300 ÷ 10 = 3830) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 38300 a prime number?
No. 38300 = × × 383, so it is divisible by 2.
What are the factors of 38300?
1, 2, 4, 5, 10, 20, 25, 50, 100, 383, 766, 1532, 1915, 3830, 7660, 9575, 19150, 38300.
What is 38300 in binary?
1001010110011100 (hexadecimal 959C, octal 112634).
What is the square root of 38300?
About 195.7039, exactly 10√383.
Is 38300 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 38300?
38300 is a happy number: repeatedly adding the squares of its digits reaches 1.