The number 3540
3540 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 59. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236 … 3540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3540: a Harshad number: divisible by its digit sum 12.
- 2
3540 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 3540 itself that is 6540, so 3540 is abundant (6540 is more than 3540). Euler's totient φ(3540) = 928 numbers up to 3540 share no factor with it.
- 4
The digits of 3540 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3540 = 2^{2} \times 3 \times 5 \times 59 \]3540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 928 |
| Square | 12531600 |
| Cube | 44361864000 |
| Square root | 59.497899 (= 2√885) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.54 × |
3540 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and forty |
| Roman numerals | MMMDXL |
| Binary (base 2) | 110111010100 |
| Octal (base 8) | 6724 |
| Hexadecimal (base 16) | DD4 |
| Base 3 | 11212010 |
| As time | 3540 seconds = 59 min 0 s |
Is 3540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3540 ÷ 2 = 1770) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3540 ÷ 3 = 1180) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3540 ÷ 4 = 885) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3540 ÷ 5 = 708) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3540 ÷ 6 = 590) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3540 ÷ 10 = 354) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3540 ÷ 12 = 295) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3540 a prime number?
No. 3540 = × 3 × 5 × 59, so it is divisible by 2.
What are the factors of 3540?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540.
What is 3540 in binary?
110111010100 (hexadecimal DD4, octal 6724).
What is the square root of 3540?
About 59.4979, exactly 2√885.
What is 3540 in Roman numerals?
MMMDXL.
Is 3540 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3540?
3540 is a Harshad number: divisible by its digit sum 12.