The number 836
836 is a composite number with 12 divisors. Its prime factorisation is × 11 × 19. Divisors (12): 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 836: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
836 is composite. Its prime factorisation is
- 3
The divisors add up to 1680; without 836 itself that is 844, so 836 is abundant (844 is more than 836). Euler's totient φ(836) = 360 numbers up to 836 share no factor with it.
- 4
The digits of 836 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 836 = 2^{2} \times 11 \times 19 \]836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1680 |
| Euler totient φ(n) | 360 |
| Square | 698896 |
| Cube | 584277056 |
| Square root | 28.913665 (= 2√209) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 8.36 × |
836 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and thirty-six |
| Roman numerals | DCCCXXXVI |
| Binary (base 2) | 1101000100 |
| Octal (base 8) | 1504 |
| Hexadecimal (base 16) | 344 |
| Base 3 | 1010222 |
| As time | 836 seconds = 13 min 56 s |
Is 836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (836 ÷ 2 = 418) | 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 | Yes (836 ÷ 4 = 209) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (836 ÷ 11 = 76) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 836 a prime number?
No. 836 = × 11 × 19, so it is divisible by 2.
What are the factors of 836?
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836.
What is 836 in binary?
1101000100 (hexadecimal 344, octal 1504).
What is the square root of 836?
About 28.9137, exactly 2√209.
What is 836 in Roman numerals?
DCCCXXXVI.
Is 836 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 836?
836 is a happy number: repeatedly adding the squares of its digits reaches 1.