The number 3800
3800 is a composite number with 24 divisors. Its prime factorisation is × × 19. Divisors (24): 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152 … 3800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3800 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3800 is composite. Its prime factorisation is
- 3
The divisors add up to 9300; without 3800 itself that is 5500, so 3800 is abundant (5500 is more than 3800). Euler's totient φ(3800) = 1440 numbers up to 3800 share no factor with it.
- 4
The digits of 3800 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3800 = 2^{3} \times 5^{2} \times 19 \]3800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 9300 |
| Euler totient φ(n) | 1440 |
| Square | 14440000 |
| Cube | 54872000000 |
| Square root | 61.644140 (= 10√38) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.8 × |
3800 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred |
| Roman numerals | MMMDCCC |
| Binary (base 2) | 111011011000 |
| Octal (base 8) | 7330 |
| Hexadecimal (base 16) | ED8 |
| Base 3 | 12012202 |
| As time | 3800 seconds = 1 h 3 min 20 s |
Is 3800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3800 ÷ 2 = 1900) | 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 (3800 ÷ 4 = 950) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3800 ÷ 5 = 760) | 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 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 (3800 ÷ 8 = 475) | 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 (3800 ÷ 10 = 380) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 3800 a prime number?
No. 3800 = × × 19, so it is divisible by 2.
What are the factors of 3800?
1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800.
What is 3800 in binary?
111011011000 (hexadecimal ED8, octal 7330).
What is the square root of 3800?
About 61.6441, exactly 10√38.
What is 3800 in Roman numerals?
MMMDCCC.
Is 3800 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3800?
It is a composite number with 24 divisors.