The number 8827
8827 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 97. Divisors (8): 1, 7, 13, 91, 97, 679, 1261, 8827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8827 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8827 is composite. Its prime factorisation is
- 3
The divisors add up to 10976; without 8827 itself that is 2149, so 8827 is deficient (2149 is less than 8827). Euler's totient φ(8827) = 6912 numbers up to 8827 share no factor with it.
- 4
The digits of 8827 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8827 = 7 \times 13 \times 97 \]
8827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10976 |
| Euler totient φ(n) | 6912 |
| Square | 77915929 |
| Cube | 687763905283 |
| Square root | 93.952115 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 8.827 × |
8827 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and twenty-seven |
| Binary (base 2) | 10001001111011 |
| Octal (base 8) | 21173 |
| Hexadecimal (base 16) | 227B |
| Base 3 | 110002221 |
| As time | 8827 seconds = 2 h 27 min 7 s |
Is 8827 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8827 ÷ 7 = 1261) | 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 3) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8827 a prime number?
No. 8827 = 7 × 13 × 97, so it is divisible by 7.
What are the factors of 8827?
1, 7, 13, 91, 97, 679, 1261, 8827.
What is 8827 in binary?
10001001111011 (hexadecimal 227B, octal 21173).
What is the square root of 8827?
About 93.9521.
Is 8827 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8827?
It is a composite number with 8 divisors.