The number 867
867 is a composite number with 6 divisors. Its prime factorisation is 3 Ć . Divisors (6): 1, 3, 17, 51, 289, 867.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
867 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
867 is composite. Its prime factorisation is
- 3
The divisors add up to 1228; without 867 itself that is 361, so 867 is deficient (361 is less than 867). Euler's totient Ļ(867) = 544 numbers up to 867 share no factor with it.
- 4
The digits of 867 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 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 867 = 3 \times 17^{2} \]867 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1228 |
| Euler totient Ļ(n) | 544 |
| Square | 751689 |
| Cube | 651714363 |
| Square root | 29.444864 (= 17ā3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 28 |
| Scientific notation | 8.67 Ć |
867 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and sixty-seven |
| Roman numerals | DCCCLXVII |
| Binary (base 2) | 1101100011 |
| Octal (base 8) | 1543 |
| Hexadecimal (base 16) | 363 |
| Base 3 | 1012010 |
| As time | 867 seconds = 14 min 27 s |
Is 867 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 (867 Ć· 3 = 289) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 867 a prime number?
No. 867 = 3 Ć , so it is divisible by 3.
What are the factors of 867?
1, 3, 17, 51, 289, 867.
What is 867 in binary?
1101100011 (hexadecimal 363, octal 1543).
What is the square root of 867?
About 29.4449, exactly 17ā3.
What is 867 in Roman numerals?
DCCCLXVII.
Is 867 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 867?
It is a composite number with 6 divisors.