The number 1884
1884 is a composite number with 12 divisors. Its prime factorisation is × 3 × 157. Divisors (12): 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1884 is composite. Its prime factorisation is
- 3
The divisors add up to 4424; without 1884 itself that is 2540, so 1884 is abundant (2540 is more than 1884). Euler's totient φ(1884) = 624 numbers up to 1884 share no factor with it.
- 4
The digits of 1884 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1884 = 2^{2} \times 3 \times 157 \]1884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4424 |
| Euler totient φ(n) | 624 |
| Square | 3549456 |
| Cube | 6687175104 |
| Square root | 43.405069 (= 2√471) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.884 × |
1884 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and eighty-four |
| Roman numerals | MDCCCLXXXIV |
| Binary (base 2) | 11101011100 |
| Octal (base 8) | 3534 |
| Hexadecimal (base 16) | 75C |
| Base 3 | 2120210 |
| As time | 1884 seconds = 31 min 24 s |
Is 1884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1884 ÷ 2 = 942) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1884 ÷ 3 = 628) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1884 ÷ 4 = 471) | 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 | Yes (1884 ÷ 6 = 314) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1884 ÷ 12 = 157) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1884 a prime number?
No. 1884 = × 3 × 157, so it is divisible by 2.
What are the factors of 1884?
1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884.
What is 1884 in binary?
11101011100 (hexadecimal 75C, octal 3534).
What is the square root of 1884?
About 43.4051, exactly 2√471.
What is 1884 in Roman numerals?
MDCCCLXXXIV.
Is 1884 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1884?
It is a composite number with 12 divisors.