The number 22742
22742 is a composite number with 8 divisors. Its prime factorisation is 2 × 83 × 137. Divisors (8): 1, 2, 83, 137, 166, 274, 11371, 22742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22742 is composite. Its prime factorisation is
- 3
The divisors add up to 34776; without 22742 itself that is 12034, so 22742 is deficient (12034 is less than 22742). Euler's totient φ(22742) = 11152 numbers up to 22742 share no factor with it.
- 4
The digits of 22742 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 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22742 = 2 \times 83 \times 137 \]
22742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34776 |
| Euler totient φ(n) | 11152 |
| Square | 517198564 |
| Cube | 11762129742488 |
| Square root | 150.804509 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.2742 × |
22742 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand seven hundred and forty-two |
| Binary (base 2) | 101100011010110 |
| Octal (base 8) | 54326 |
| Hexadecimal (base 16) | 58D6 |
| Base 3 | 1011012022 |
| As time | 22742 seconds = 6 h 19 min 2 s |
Is 22742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22742 ÷ 2 = 11371) | 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 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 6) | 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 5) | 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 22742 a prime number?
No. 22742 = 2 × 83 × 137, so it is divisible by 2.
What are the factors of 22742?
1, 2, 83, 137, 166, 274, 11371, 22742.
What is 22742 in binary?
101100011010110 (hexadecimal 58D6, octal 54326).
What is the square root of 22742?
About 150.8045.
Is 22742 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 22742?
It is a composite number with 8 divisors.