The number 8888
8888 is a palindrome: it reads 8888 backwards too. Its prime factorisation is × 11 × 101. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8888: a palindrome: it reads 8888 backwards too.
- 2
8888 is composite. Its prime factorisation is
- 3
The divisors add up to 18360; without 8888 itself that is 9472, so 8888 is abundant (9472 is more than 8888). Euler's totient φ(8888) = 4000 numbers up to 8888 share no factor with it.
- 4
The digits of 8888 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8888 = 2^{3} \times 11 \times 101 \]8888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18360 |
| Euler totient φ(n) | 4000 |
| Square | 78996544 |
| Cube | 702121283072 |
| Square root | 94.276190 (= 2√2222) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 8.888 × |
8888 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and eighty-eight |
| Binary (base 2) | 10001010111000 |
| Octal (base 8) | 21270 |
| Hexadecimal (base 16) | 22B8 |
| Base 3 | 110012012 |
| As time | 8888 seconds = 2 h 28 min 8 s |
Is 8888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8888 ÷ 2 = 4444) | 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 (8888 ÷ 4 = 2222) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 | Yes (8888 ÷ 8 = 1111) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8888 ÷ 11 = 808) | 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 8888 a prime number?
No. 8888 = × 11 × 101, so it is divisible by 2.
What are the factors of 8888?
1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888.
What is 8888 in binary?
10001010111000 (hexadecimal 22B8, octal 21270).
What is the square root of 8888?
About 94.2762, exactly 2√2222.
Is 8888 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 8888?
8888 is a palindrome: it reads 8888 backwards too.