The number 42722
42722 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 521. Divisors (8): 1, 2, 41, 82, 521, 1042, 21361, 42722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42722 is composite. Its prime factorisation is
- 3
The divisors add up to 65772; without 42722 itself that is 23050, so 42722 is deficient (23050 is less than 42722). Euler's totient φ(42722) = 20800 numbers up to 42722 share no factor with it.
- 4
The digits of 42722 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42722 = 2 \times 41 \times 521 \]
42722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65772 |
| Euler totient φ(n) | 20800 |
| Square | 1825169284 |
| Cube | 77974882151048 |
| Square root | 206.693009 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2722 × |
42722 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and twenty-two |
| Binary (base 2) | 1010011011100010 |
| Octal (base 8) | 123342 |
| Hexadecimal (base 16) | A6E2 |
| Base 3 | 2011121022 |
| As time | 42722 seconds = 11 h 52 min 2 s |
Is 42722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42722 ÷ 2 = 21361) | 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 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42722 a prime number?
No. 42722 = 2 × 41 × 521, so it is divisible by 2.
What are the factors of 42722?
1, 2, 41, 82, 521, 1042, 21361, 42722.
What is 42722 in binary?
1010011011100010 (hexadecimal A6E2, octal 123342).
What is the square root of 42722?
About 206.6930.
Is 42722 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42722?
It is a composite number with 8 divisors.