The number 1887
1887 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 37. Divisors (8): 1, 3, 17, 37, 51, 111, 629, 1887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1887 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1887 is composite. Its prime factorisation is
- 3
The divisors add up to 2736; without 1887 itself that is 849, so 1887 is deficient (849 is less than 1887). Euler's totient φ(1887) = 1152 numbers up to 1887 share no factor with it.
- 4
The digits of 1887 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1887 = 3 \times 17 \times 37 \]
1887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2736 |
| Euler totient φ(n) | 1152 |
| Square | 3560769 |
| Cube | 6719171103 |
| Square root | 43.439613 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.887 × |
1887 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and eighty-seven |
| Roman numerals | MDCCCLXXXVII |
| Binary (base 2) | 11101011111 |
| Octal (base 8) | 3537 |
| Hexadecimal (base 16) | 75F |
| Base 3 | 2120220 |
| As time | 1887 seconds = 31 min 27 s |
Is 1887 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1887 ÷ 3 = 629) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1887 a prime number?
No. 1887 = 3 × 17 × 37, so it is divisible by 3.
What are the factors of 1887?
1, 3, 17, 37, 51, 111, 629, 1887.
What is 1887 in binary?
11101011111 (hexadecimal 75F, octal 3537).
What is the square root of 1887?
About 43.4396.
What is 1887 in Roman numerals?
MDCCCLXXXVII.
Is 1887 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 1887?
It is a composite number with 8 divisors.