The number 2723
2723 is a composite number with 4 divisors. Its prime factorisation is 7 × 389. Divisors (4): 1, 7, 389, 2723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2723: a semiprime: 7 × 389, the product of two primes.
- 2
2723 is composite. Its prime factorisation is
- 3
The divisors add up to 3120; without 2723 itself that is 397, so 2723 is deficient (397 is less than 2723). Euler's totient φ(2723) = 2328 numbers up to 2723 share no factor with it.
- 4
The digits of 2723 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2723 = 7 \times 389 \]
2723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3120 |
| Euler totient φ(n) | 2328 |
| Square | 7414729 |
| Cube | 20190307067 |
| Square root | 52.182373 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 53 |
| Scientific notation | 2.723 × |
2723 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and twenty-three |
| Roman numerals | MMDCCXXIII |
| Binary (base 2) | 101010100011 |
| Octal (base 8) | 5243 |
| Hexadecimal (base 16) | AA3 |
| Base 3 | 10201212 |
| As time | 2723 seconds = 45 min 23 s |
Is 2723 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 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2723 ÷ 7 = 389) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2723 a prime number?
No. 2723 = 7 × 389, so it is divisible by 7.
What are the factors of 2723?
1, 7, 389, 2723.
What is 2723 in binary?
101010100011 (hexadecimal AA3, octal 5243).
What is the square root of 2723?
About 52.1824.
What is 2723 in Roman numerals?
MMDCCXXIII.
Is 2723 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2723?
2723 is a semiprime: 7 × 389, the product of two primes.