The number 2722
2722 is a composite number with 4 divisors. Its prime factorisation is 2 × 1361. Divisors (4): 1, 2, 1361, 2722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2722: a semiprime: 2 × 1361, the product of two primes.
- 2
2722 is composite. Its prime factorisation is
- 3
The divisors add up to 4086; without 2722 itself that is 1364, so 2722 is deficient (1364 is less than 2722). Euler's totient φ(2722) = 1360 numbers up to 2722 share no factor with it.
- 4
The digits of 2722 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2722 = 2 \times 1361 \]
2722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4086 |
| Euler totient φ(n) | 1360 |
| Square | 7409284 |
| Cube | 20168071048 |
| Square root | 52.172790 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 53 |
| Scientific notation | 2.722 × |
2722 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and twenty-two |
| Roman numerals | MMDCCXXII |
| Binary (base 2) | 101010100010 |
| Octal (base 8) | 5242 |
| Hexadecimal (base 16) | AA2 |
| Base 3 | 10201211 |
| As time | 2722 seconds = 45 min 22 s |
Is 2722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2722 ÷ 2 = 1361) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2722 a prime number?
No. 2722 = 2 × 1361, so it is divisible by 2.
What are the factors of 2722?
1, 2, 1361, 2722.
What is 2722 in binary?
101010100010 (hexadecimal AA2, octal 5242).
What is the square root of 2722?
About 52.1728.
What is 2722 in Roman numerals?
MMDCCXXII.
Is 2722 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2722?
2722 is a semiprime: 2 × 1361, the product of two primes.