The number 4482
4482 is a composite number with 16 divisors. Its prime factorisation is 2 × × 83. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4482: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
4482 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 4482 itself that is 5598, so 4482 is abundant (5598 is more than 4482). Euler's totient φ(4482) = 1476 numbers up to 4482 share no factor with it.
- 4
The digits of 4482 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4482 = 2 \times 3^{3} \times 83 \]4482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 1476 |
| Square | 20088324 |
| Cube | 90035868168 |
| Square root | 66.947741 (= 3√498) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.482 × |
4482 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and eighty-two |
| Binary (base 2) | 1000110000010 |
| Octal (base 8) | 10602 |
| Hexadecimal (base 16) | 1182 |
| Base 3 | 20011000 |
| As time | 4482 seconds = 1 h 14 min 42 s |
Is 4482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4482 ÷ 2 = 2241) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4482 ÷ 3 = 1494) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (4482 ÷ 6 = 747) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4482 ÷ 9 = 498) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4482 a prime number?
No. 4482 = 2 × × 83, so it is divisible by 2.
What are the factors of 4482?
1, 2, 3, 6, 9, 18, 27, 54, 83, 166, 249, 498, 747, 1494, 2241, 4482.
What is 4482 in binary?
1000110000010 (hexadecimal 1182, octal 10602).
What is the square root of 4482?
About 66.9477, exactly 3√498.
Is 4482 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4482?
4482 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.