The number 3528
3528 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42 … 3528.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3528: a Harshad number: divisible by its digit sum 18.
- 2
3528 is composite. Its prime factorisation is
- 3
The divisors add up to 11115; without 3528 itself that is 7587, so 3528 is abundant (7587 is more than 3528). Euler's totient φ(3528) = 1008 numbers up to 3528 share no factor with it.
- 4
The digits of 3528 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3528 = 2^{3} \times 3^{2} \times 7^{2} \]3528 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 11115 |
| Euler totient φ(n) | 1008 |
| Square | 12446784 |
| Cube | 43912253952 |
| Square root | 59.396970 (= 42√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.528 × |
3528 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and twenty-eight |
| Roman numerals | MMMDXXVIII |
| Binary (base 2) | 110111001000 |
| Octal (base 8) | 6710 |
| Hexadecimal (base 16) | DC8 |
| Base 3 | 11211200 |
| As time | 3528 seconds = 58 min 48 s |
Is 3528 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3528 ÷ 2 = 1764) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3528 ÷ 3 = 1176) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3528 ÷ 4 = 882) | 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 (3528 ÷ 6 = 588) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3528 ÷ 7 = 504) | 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 (3528 ÷ 8 = 441) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3528 ÷ 9 = 392) | 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 (3528 ÷ 12 = 294) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3528 a prime number?
No. 3528 = × × , so it is divisible by 2.
What are the factors of 3528?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 126, 147, 168, 196, 252, 294, 392, 441, 504, 588, 882, 1176, 1764, 3528.
What is 3528 in binary?
110111001000 (hexadecimal DC8, octal 6710).
What is the square root of 3528?
About 59.3970, exactly 42√2.
What is 3528 in Roman numerals?
MMMDXXVIII.
Is 3528 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3528?
3528 is a Harshad number: divisible by its digit sum 18.