The number 3530
3530 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 353. Divisors (8): 1, 2, 5, 10, 353, 706, 1765, 3530.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3530 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3530 is composite. Its prime factorisation is
- 3
The divisors add up to 6372; without 3530 itself that is 2842, so 3530 is deficient (2842 is less than 3530). Euler's totient φ(3530) = 1408 numbers up to 3530 share no factor with it.
- 4
The digits of 3530 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3530 = 2 \times 5 \times 353 \]
3530 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6372 |
| Euler totient φ(n) | 1408 |
| Square | 12460900 |
| Cube | 43986977000 |
| Square root | 59.413803 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.53 × |
3530 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and thirty |
| Roman numerals | MMMDXXX |
| Binary (base 2) | 110111001010 |
| Octal (base 8) | 6712 |
| Hexadecimal (base 16) | DCA |
| Base 3 | 11211202 |
| As time | 3530 seconds = 58 min 50 s |
Is 3530 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3530 ÷ 2 = 1765) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3530 ÷ 5 = 706) | 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 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3530 ÷ 10 = 353) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3530 a prime number?
No. 3530 = 2 × 5 × 353, so it is divisible by 2.
What are the factors of 3530?
1, 2, 5, 10, 353, 706, 1765, 3530.
What is 3530 in binary?
110111001010 (hexadecimal DCA, octal 6712).
What is the square root of 3530?
About 59.4138.
What is 3530 in Roman numerals?
MMMDXXX.
Is 3530 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 3530?
It is a composite number with 8 divisors.