The number 2724
2724 is a composite number with 12 divisors. Its prime factorisation is × 3 × 227. Divisors (12): 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2724 is composite. Its prime factorisation is
- 3
The divisors add up to 6384; without 2724 itself that is 3660, so 2724 is abundant (3660 is more than 2724). Euler's totient φ(2724) = 904 numbers up to 2724 share no factor with it.
- 4
The digits of 2724 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2724 = 2^{2} \times 3 \times 227 \]2724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6384 |
| Euler totient φ(n) | 904 |
| Square | 7420176 |
| Cube | 20212559424 |
| Square root | 52.191953 (= 2√681) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 2.724 × |
2724 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and twenty-four |
| Roman numerals | MMDCCXXIV |
| Binary (base 2) | 101010100100 |
| Octal (base 8) | 5244 |
| Hexadecimal (base 16) | AA4 |
| Base 3 | 10201220 |
| As time | 2724 seconds = 45 min 24 s |
Is 2724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2724 ÷ 2 = 1362) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2724 ÷ 3 = 908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2724 ÷ 4 = 681) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2724 ÷ 6 = 454) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2724 ÷ 12 = 227) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2724 a prime number?
No. 2724 = × 3 × 227, so it is divisible by 2.
What are the factors of 2724?
1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724.
What is 2724 in binary?
101010100100 (hexadecimal AA4, octal 5244).
What is the square root of 2724?
About 52.1920, exactly 2√681.
What is 2724 in Roman numerals?
MMDCCXXIV.
Is 2724 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2724?
It is a composite number with 12 divisors.