The number 2730
2730 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 13. Divisors (32): 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42 … 2730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2730 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 2730 itself that is 5334, so 2730 is abundant (5334 is more than 2730). Euler's totient φ(2730) = 576 numbers up to 2730 share no factor with it.
- 4
The digits of 2730 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 14 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2730 = 2 \times 3 \times 5 \times 7 \times 13 \]
2730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 576 |
| Square | 7452900 |
| Cube | 20346417000 |
| Square root | 52.249402 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 14 |
| Scientific notation | 2.73 × |
2730 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and thirty |
| Roman numerals | MMDCCXXX |
| Binary (base 2) | 101010101010 |
| Octal (base 8) | 5252 |
| Hexadecimal (base 16) | AAA |
| Base 3 | 10202010 |
| As time | 2730 seconds = 45 min 30 s |
Is 2730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2730 ÷ 2 = 1365) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2730 ÷ 3 = 910) | 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 (2730 ÷ 5 = 546) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2730 ÷ 6 = 455) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2730 ÷ 7 = 390) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2730 ÷ 10 = 273) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 2730 a prime number?
No. 2730 = 2 × 3 × 5 × 7 × 13, so it is divisible by 2.
What are the factors of 2730?
1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730.
What is 2730 in binary?
101010101010 (hexadecimal AAA, octal 5252).
What is the square root of 2730?
About 52.2494.
What is 2730 in Roman numerals?
MMDCCXXX.
Is 2730 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2730?
It is a composite number with 32 divisors.