The number 887
887 is the 154th prime number. Its only divisors are 1 and 887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 887: the 154th prime number.
- 2
887 is prime, so its only factors are 1 and 887. It is the 154th prime; the next prime is 907 and the one before is 883.
- 3
The divisors add up to 888; without 887 itself that is 1, so 887 is deficient (1 is less than 887). Euler's totient φ(887) = 886 numbers up to 887 share no factor with it.
- 4
The digits of 887 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
887 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 888 |
| Euler totient φ(n) | 886 |
| Square | 786769 |
| Cube | 697864103 |
| Square root | 29.782545 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 8.87 × |
887 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and eighty-seven |
| Roman numerals | DCCCLXXXVII |
| Binary (base 2) | 1101110111 |
| Octal (base 8) | 1567 |
| Hexadecimal (base 16) | 377 |
| Base 3 | 1012212 |
| As time | 887 seconds = 14 min 47 s |
Is 887 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 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 5) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 887 a prime number?
Yes. 887 is divisible only by 1 and itself.
What are the factors of 887?
1, 887.
What is 887 in binary?
1101110111 (hexadecimal 377, octal 1567).
What is the square root of 887?
About 29.7825.
What is 887 in Roman numerals?
DCCCLXXXVII.
Is 887 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 887?
887 is the 154th prime number.