The number 834
834 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 139. Divisors (8): 1, 2, 3, 6, 139, 278, 417, 834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
834 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
834 is composite. Its prime factorisation is
- 3
The divisors add up to 1680; without 834 itself that is 846, so 834 is abundant (846 is more than 834). Euler's totient φ(834) = 276 numbers up to 834 share no factor with it.
- 4
The digits of 834 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 834 = 2 \times 3 \times 139 \]
834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1680 |
| Euler totient φ(n) | 276 |
| Square | 695556 |
| Cube | 580093704 |
| Square root | 28.879058 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 134 |
| Scientific notation | 8.34 × |
834 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and thirty-four |
| Roman numerals | DCCCXXXIV |
| Binary (base 2) | 1101000010 |
| Octal (base 8) | 1502 |
| Hexadecimal (base 16) | 342 |
| Base 3 | 1010220 |
| As time | 834 seconds = 13 min 54 s |
Is 834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (834 ÷ 2 = 417) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (834 ÷ 3 = 278) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (834 ÷ 6 = 139) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 834 a prime number?
No. 834 = 2 × 3 × 139, so it is divisible by 2.
What are the factors of 834?
1, 2, 3, 6, 139, 278, 417, 834.
What is 834 in binary?
1101000010 (hexadecimal 342, octal 1502).
What is the square root of 834?
About 28.8791.
What is 834 in Roman numerals?
DCCCXXXIV.
Is 834 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 834?
It is a composite number with 8 divisors.