The number 488
488 is a composite number with 8 divisors. Its prime factorisation is × 61. Divisors (8): 1, 2, 4, 8, 61, 122, 244, 488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
488 is composite. Its prime factorisation is
- 3
The divisors add up to 930; without 488 itself that is 442, so 488 is deficient (442 is less than 488). Euler's totient φ(488) = 240 numbers up to 488 share no factor with it.
- 4
The digits of 488 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 488 = 2^{3} \times 61 \]488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 930 |
| Euler totient φ(n) | 240 |
| Square | 238144 |
| Cube | 116214272 |
| Square root | 22.090722 (= 2√122) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 22 |
| Scientific notation | 4.88 × |
488 in other forms
| Form | Value |
|---|---|
| In words | four hundred and eighty-eight |
| Roman numerals | CDLXXXVIII |
| Binary (base 2) | 111101000 |
| Octal (base 8) | 750 |
| Hexadecimal (base 16) | 1E8 |
| Base 3 | 200002 |
| As time | 488 seconds = 8 min 8 s |
Is 488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (488 ÷ 2 = 244) | 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 (488 ÷ 4 = 122) | 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 (488 ÷ 8 = 61) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 488 a prime number?
No. 488 = × 61, so it is divisible by 2.
What are the factors of 488?
1, 2, 4, 8, 61, 122, 244, 488.
What is 488 in binary?
111101000 (hexadecimal 1E8, octal 750).
What is the square root of 488?
About 22.0907, exactly 2√122.
What is 488 in Roman numerals?
CDLXXXVIII.
Is 488 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 488?
It is a composite number with 8 divisors.