The number 888
888 is a palindrome: it reads 888 backwards too. Its prime factorisation is × 3 × 37. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 888: a palindrome: it reads 888 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
888 is composite. Its prime factorisation is
- 3
The divisors add up to 2280; without 888 itself that is 1392, so 888 is abundant (1392 is more than 888). Euler's totient φ(888) = 288 numbers up to 888 share no factor with it.
- 4
The digits of 888 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 888 = 2^{3} \times 3 \times 37 \]888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2280 |
| Euler totient φ(n) | 288 |
| Square | 788544 |
| Cube | 700227072 |
| Square root | 29.799329 (= 2√222) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 72 |
| Scientific notation | 8.88 × |
888 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and eighty-eight |
| Roman numerals | DCCCLXXXVIII |
| Binary (base 2) | 1101111000 |
| Octal (base 8) | 1570 |
| Hexadecimal (base 16) | 378 |
| Base 3 | 1012220 |
| As time | 888 seconds = 14 min 48 s |
Is 888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (888 ÷ 2 = 444) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (888 ÷ 3 = 296) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (888 ÷ 4 = 222) | 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 | Yes (888 ÷ 6 = 148) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (888 ÷ 8 = 111) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (888 ÷ 12 = 74) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 888 a prime number?
No. 888 = × 3 × 37, so it is divisible by 2.
What are the factors of 888?
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.
What is 888 in binary?
1101111000 (hexadecimal 378, octal 1570).
What is the square root of 888?
About 29.7993, exactly 2√222.
What is 888 in Roman numerals?
DCCCLXXXVIII.
Is 888 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 888?
888 is a palindrome: it reads 888 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.