The number 4488
4488 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 17. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66 … 4488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4488: a Harshad number: divisible by its digit sum 24.
- 2
4488 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 4488 itself that is 8472, so 4488 is abundant (8472 is more than 4488). Euler's totient φ(4488) = 1280 numbers up to 4488 share no factor with it.
- 4
The digits of 4488 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4488 = 2^{3} \times 3 \times 11 \times 17 \]4488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 1280 |
| Square | 20142144 |
| Cube | 90397942272 |
| Square root | 66.992537 (= 2√1122) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.488 × |
4488 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and eighty-eight |
| Binary (base 2) | 1000110001000 |
| Octal (base 8) | 10610 |
| Hexadecimal (base 16) | 1188 |
| Base 3 | 20011020 |
| As time | 4488 seconds = 1 h 14 min 48 s |
Is 4488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4488 ÷ 2 = 2244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4488 ÷ 3 = 1496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4488 ÷ 4 = 1122) | 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 (4488 ÷ 6 = 748) | 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 | Yes (4488 ÷ 8 = 561) | 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 | Yes (4488 ÷ 11 = 408) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4488 ÷ 12 = 374) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4488 a prime number?
No. 4488 = × 3 × 11 × 17, so it is divisible by 2.
What are the factors of 4488?
1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488.
What is 4488 in binary?
1000110001000 (hexadecimal 1188, octal 10610).
What is the square root of 4488?
About 66.9925, exactly 2√1122.
Is 4488 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 4488?
4488 is a Harshad number: divisible by its digit sum 24.