The number 484
484 is a perfect square (22²) and a palindrome: it reads 484 backwards too. Its prime factorisation is × . Divisors (9): 1, 2, 4, 11, 22, 44, 121, 242, 484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 484: a perfect square (22²); a palindrome: it reads 484 backwards too.
- 2
484 is composite. Its prime factorisation is
- 3
The divisors add up to 931; without 484 itself that is 447, so 484 is deficient (447 is less than 484). Euler's totient φ(484) = 220 numbers up to 484 share no factor with it.
- 4
The digits of 484 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 484 = 2^{2} \times 11^{2} \]484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 931 |
| Euler totient φ(n) | 220 |
| Square | 234256 |
| Cube | 113379904 |
| Square root | 22 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 97 |
| Scientific notation | 4.84 × |
| Perfect power |
484 in other forms
| Form | Value |
|---|---|
| In words | four hundred and eighty-four |
| Roman numerals | CDLXXXIV |
| Binary (base 2) | 111100100 |
| Octal (base 8) | 744 |
| Hexadecimal (base 16) | 1E4 |
| Base 3 | 122221 |
| As time | 484 seconds = 8 min 4 s |
Is 484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (484 ÷ 2 = 242) | 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 | Yes (484 ÷ 4 = 121) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 1) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (484 ÷ 11 = 44) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 484 a prime number?
No. 484 = × , so it is divisible by 2.
What are the factors of 484?
1, 2, 4, 11, 22, 44, 121, 242, 484.
What is 484 in binary?
111100100 (hexadecimal 1E4, octal 744).
What is the square root of 484?
22, because 22 × 22 = 484.
What is 484 in Roman numerals?
CDLXXXIV.
Is 484 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 484?
484 is a perfect square (22²); a palindrome: it reads 484 backwards too.