The number 826
826 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 59. Divisors (8): 1, 2, 7, 14, 59, 118, 413, 826.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
826 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
826 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 826 itself that is 614, so 826 is deficient (614 is less than 826). Euler's totient φ(826) = 348 numbers up to 826 share no factor with it.
- 4
The digits of 826 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 826 = 2 \times 7 \times 59 \]
826 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 348 |
| Square | 682276 |
| Cube | 563559976 |
| Square root | 28.740216 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 8.26 × |
826 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and twenty-six |
| Roman numerals | DCCCXXVI |
| Binary (base 2) | 1100111010 |
| Octal (base 8) | 1472 |
| Hexadecimal (base 16) | 33A |
| Base 3 | 1010121 |
| As time | 826 seconds = 13 min 46 s |
Is 826 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (826 ÷ 2 = 413) | 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 | No (remainder 1) | 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 | Yes (826 ÷ 7 = 118) | 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 7) | 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 | No (remainder 1) | 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 826 a prime number?
No. 826 = 2 × 7 × 59, so it is divisible by 2.
What are the factors of 826?
1, 2, 7, 14, 59, 118, 413, 826.
What is 826 in binary?
1100111010 (hexadecimal 33A, octal 1472).
What is the square root of 826?
About 28.7402.
What is 826 in Roman numerals?
DCCCXXVI.
Is 826 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 826?
It is a composite number with 8 divisors.