The number 830
830 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 83. Divisors (8): 1, 2, 5, 10, 83, 166, 415, 830.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
830 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
830 is composite. Its prime factorisation is
- 3
The divisors add up to 1512; without 830 itself that is 682, so 830 is deficient (682 is less than 830). Euler's totient φ(830) = 328 numbers up to 830 share no factor with it.
- 4
The digits of 830 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 830 = 2 \times 5 \times 83 \]
830 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1512 |
| Euler totient φ(n) | 328 |
| Square | 688900 |
| Cube | 571787000 |
| Square root | 28.809721 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 134 |
| Scientific notation | 8.3 × |
830 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and thirty |
| Roman numerals | DCCCXXX |
| Binary (base 2) | 1100111110 |
| Octal (base 8) | 1476 |
| Hexadecimal (base 16) | 33E |
| Base 3 | 1010202 |
| As time | 830 seconds = 13 min 50 s |
Is 830 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (830 ÷ 2 = 415) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (830 ÷ 5 = 166) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (830 ÷ 10 = 83) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 830 a prime number?
No. 830 = 2 × 5 × 83, so it is divisible by 2.
What are the factors of 830?
1, 2, 5, 10, 83, 166, 415, 830.
What is 830 in binary?
1100111110 (hexadecimal 33E, octal 1476).
What is the square root of 830?
About 28.8097.
What is 830 in Roman numerals?
DCCCXXX.
Is 830 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 830?
It is a composite number with 8 divisors.