The number 1889
1889 is the 290th prime number. Its only divisors are 1 and 1889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1889: the 290th prime number.
- 2
1889 is prime, so its only factors are 1 and 1889. It is the 290th prime; the next prime is 1901 and the one before is 1879.
- 3
The divisors add up to 1890; without 1889 itself that is 1, so 1889 is deficient (1 is less than 1889). Euler's totient φ(1889) = 1888 numbers up to 1889 share no factor with it.
- 4
The digits of 1889 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
1889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1890 |
| Euler totient φ(n) | 1888 |
| Square | 3568321 |
| Cube | 6740558369 |
| Square root | 43.462628 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.889 × |
1889 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and eighty-nine |
| Roman numerals | MDCCCLXXXIX |
| Binary (base 2) | 11101100001 |
| Octal (base 8) | 3541 |
| Hexadecimal (base 16) | 761 |
| Base 3 | 2120222 |
| As time | 1889 seconds = 31 min 29 s |
Is 1889 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1889 a prime number?
Yes. 1889 is divisible only by 1 and itself.
What are the factors of 1889?
1, 1889.
What is 1889 in binary?
11101100001 (hexadecimal 761, octal 3541).
What is the square root of 1889?
About 43.4626.
What is 1889 in Roman numerals?
MDCCCLXXXIX.
Is 1889 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 1889?
1889 is the 290th prime number.