The number 380
380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 19. Divisors (12): 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
380 is composite. Its prime factorisation is
- 3
The divisors add up to 840; without 380 itself that is 460, so 380 is abundant (460 is more than 380). Euler's totient φ(380) = 144 numbers up to 380 share no factor with it.
- 4
The digits of 380 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 380 = 2^{2} \times 5 \times 19 \]380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 840 |
| Euler totient φ(n) | 144 |
| Square | 144400 |
| Cube | 54872000 |
| Square root | 19.493589 (= 2√95) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 3.8 × |
380 in other forms
| Form | Value |
|---|---|
| In words | three hundred and eighty |
| Roman numerals | CCCLXXX |
| Binary (base 2) | 101111100 |
| Octal (base 8) | 574 |
| Hexadecimal (base 16) | 17C |
| Base 3 | 112002 |
| As time | 380 seconds = 6 min 20 s |
Is 380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (380 ÷ 2 = 190) | 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 (380 ÷ 4 = 95) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (380 ÷ 5 = 76) | 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 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 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 (380 ÷ 10 = 38) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 380 a prime number?
No. 380 = × 5 × 19, so it is divisible by 2.
What are the factors of 380?
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380.
What is 380 in binary?
101111100 (hexadecimal 17C, octal 574).
What is the square root of 380?
About 19.4936, exactly 2√95.
What is 380 in Roman numerals?
CCCLXXX.
Is 380 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 380?
It is a composite number with 12 divisors.