The number 1867
1867 is the 285th prime number. Its only divisors are 1 and 1867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1867: the 285th prime number.
- 2
1867 is prime, so its only factors are 1 and 1867. It is the 285th prime; the next prime is 1871 and the one before is 1861.
- 3
The divisors add up to 1868; without 1867 itself that is 1, so 1867 is deficient (1 is less than 1867). Euler's totient φ(1867) = 1866 numbers up to 1867 share no factor with it.
- 4
The digits of 1867 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 37 steps to reach 1.
1867 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1868 |
| Euler totient φ(n) | 1866 |
| Square | 3485689 |
| Cube | 6507781363 |
| Square root | 43.208795 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.867 × |
1867 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and sixty-seven |
| Roman numerals | MDCCCLXVII |
| Binary (base 2) | 11101001011 |
| Octal (base 8) | 3513 |
| Hexadecimal (base 16) | 74B |
| Base 3 | 2120011 |
| As time | 1867 seconds = 31 min 7 s |
Is 1867 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1867 a prime number?
Yes. 1867 is divisible only by 1 and itself.
What are the factors of 1867?
1, 1867.
What is 1867 in binary?
11101001011 (hexadecimal 74B, octal 3513).
What is the square root of 1867?
About 43.2088.
What is 1867 in Roman numerals?
MDCCCLXVII.
Is 1867 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 1867?
1867 is the 285th prime number.