The number 850
850 is a composite number with 12 divisors. Its prime factorisation is 2 × × 17. Divisors (12): 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
850 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
850 is composite. Its prime factorisation is
- 3
The divisors add up to 1674; without 850 itself that is 824, so 850 is deficient (824 is less than 850). Euler's totient φ(850) = 320 numbers up to 850 share no factor with it.
- 4
The digits of 850 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 850 = 2 \times 5^{2} \times 17 \]850 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1674 |
| Euler totient φ(n) | 320 |
| Square | 722500 |
| Cube | 614125000 |
| Square root | 29.154759 (= 5√34) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 8.5 × |
850 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and fifty |
| Roman numerals | DCCCL |
| Binary (base 2) | 1101010010 |
| Octal (base 8) | 1522 |
| Hexadecimal (base 16) | 352 |
| Base 3 | 1011111 |
| As time | 850 seconds = 14 min 10 s |
Is 850 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (850 ÷ 2 = 425) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (850 ÷ 5 = 170) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 | Yes (850 ÷ 10 = 85) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 850 a prime number?
No. 850 = 2 × × 17, so it is divisible by 2.
What are the factors of 850?
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850.
What is 850 in binary?
1101010010 (hexadecimal 352, octal 1522).
What is the square root of 850?
About 29.1548, exactly 5√34.
What is 850 in Roman numerals?
DCCCL.
Is 850 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 850?
It is a composite number with 12 divisors.