The number 2727
2727 is a composite number with 8 divisors. Its prime factorisation is × 101. Divisors (8): 1, 3, 9, 27, 101, 303, 909, 2727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2727 is composite. Its prime factorisation is
- 3
The divisors add up to 4080; without 2727 itself that is 1353, so 2727 is deficient (1353 is less than 2727). Euler's totient φ(2727) = 1800 numbers up to 2727 share no factor with it.
- 4
The digits of 2727 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 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2727 = 3^{3} \times 101 \]2727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4080 |
| Euler totient φ(n) | 1800 |
| Square | 7436529 |
| Cube | 20279414583 |
| Square root | 52.220686 (= 3√303) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 128 |
| Scientific notation | 2.727 × |
2727 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and twenty-seven |
| Roman numerals | MMDCCXXVII |
| Binary (base 2) | 101010100111 |
| Octal (base 8) | 5247 |
| Hexadecimal (base 16) | AA7 |
| Base 3 | 10202000 |
| As time | 2727 seconds = 45 min 27 s |
Is 2727 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2727 ÷ 3 = 909) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2727 ÷ 9 = 303) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2727 a prime number?
No. 2727 = × 101, so it is divisible by 3.
What are the factors of 2727?
1, 3, 9, 27, 101, 303, 909, 2727.
What is 2727 in binary?
101010100111 (hexadecimal AA7, octal 5247).
What is the square root of 2727?
About 52.2207, exactly 3√303.
What is 2727 in Roman numerals?
MMDCCXXVII.
Is 2727 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2727?
It is a composite number with 8 divisors.