The number 284
284 is a composite number with 6 divisors. Its prime factorisation is × 71. Divisors (6): 1, 2, 4, 71, 142, 284.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
284 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
284 is composite. Its prime factorisation is
- 3
The divisors add up to 504; without 284 itself that is 220, so 284 is deficient (220 is less than 284). Euler's totient φ(284) = 140 numbers up to 284 share no factor with it.
- 4
The digits of 284 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 284 = 2^{2} \times 71 \]284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 504 |
| Euler totient φ(n) | 140 |
| Square | 80656 |
| Cube | 22906304 |
| Square root | 16.852300 (= 2√71) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 104 |
| Scientific notation | 2.84 × |
284 in other forms
| Form | Value |
|---|---|
| In words | two hundred and eighty-four |
| Roman numerals | CCLXXXIV |
| Binary (base 2) | 100011100 |
| Octal (base 8) | 434 |
| Hexadecimal (base 16) | 11C |
| Base 3 | 101112 |
| As time | 284 seconds = 4 min 44 s |
Is 284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (284 ÷ 2 = 142) | 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 (284 ÷ 4 = 71) | 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 2) | 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 | 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 | No (remainder 4) | 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 284 a prime number?
No. 284 = × 71, so it is divisible by 2.
What are the factors of 284?
1, 2, 4, 71, 142, 284.
What is 284 in binary?
100011100 (hexadecimal 11C, octal 434).
What is the square root of 284?
About 16.8523, exactly 2√71.
What is 284 in Roman numerals?
CCLXXXIV.
Is 284 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 284?
It is a composite number with 6 divisors.