The number 3784
3784 is a composite number with 16 divisors. Its prime factorisation is × 11 × 43. Divisors (16): 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3784: a Harshad number: divisible by its digit sum 22.
- 2
3784 is composite. Its prime factorisation is
- 3
The divisors add up to 7920; without 3784 itself that is 4136, so 3784 is abundant (4136 is more than 3784). Euler's totient φ(3784) = 1680 numbers up to 3784 share no factor with it.
- 4
The digits of 3784 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3784 = 2^{3} \times 11 \times 43 \]3784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7920 |
| Euler totient φ(n) | 1680 |
| Square | 14318656 |
| Cube | 54181794304 |
| Square root | 61.514226 (= 2√946) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.784 × |
3784 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and eighty-four |
| Roman numerals | MMMDCCLXXXIV |
| Binary (base 2) | 111011001000 |
| Octal (base 8) | 7310 |
| Hexadecimal (base 16) | EC8 |
| Base 3 | 12012011 |
| As time | 3784 seconds = 1 h 3 min 4 s |
Is 3784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3784 ÷ 2 = 1892) | 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 (3784 ÷ 4 = 946) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 (3784 ÷ 8 = 473) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3784 ÷ 11 = 344) | 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 3784 a prime number?
No. 3784 = × 11 × 43, so it is divisible by 2.
What are the factors of 3784?
1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784.
What is 3784 in binary?
111011001000 (hexadecimal EC8, octal 7310).
What is the square root of 3784?
About 61.5142, exactly 2√946.
What is 3784 in Roman numerals?
MMMDCCLXXXIV.
Is 3784 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 3784?
3784 is a Harshad number: divisible by its digit sum 22.