The number 22042
22042 is a composite number with 8 divisors. Its prime factorisation is 2 × 103 × 107. Divisors (8): 1, 2, 103, 107, 206, 214, 11021, 22042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22042: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22042 is composite. Its prime factorisation is
- 3
The divisors add up to 33696; without 22042 itself that is 11654, so 22042 is deficient (11654 is less than 22042). Euler's totient φ(22042) = 10812 numbers up to 22042 share no factor with it.
- 4
The digits of 22042 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22042 = 2 \times 103 \times 107 \]
22042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 33696 |
| Euler totient φ(n) | 10812 |
| Square | 485849764 |
| Cube | 10709100498088 |
| Square root | 148.465484 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2042 × |
22042 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and forty-two |
| Binary (base 2) | 101011000011010 |
| Octal (base 8) | 53032 |
| Hexadecimal (base 16) | 561A |
| Base 3 | 1010020101 |
| As time | 22042 seconds = 6 h 7 min 22 s |
Is 22042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22042 ÷ 2 = 11021) | 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 1) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22042 a prime number?
No. 22042 = 2 × 103 × 107, so it is divisible by 2.
What are the factors of 22042?
1, 2, 103, 107, 206, 214, 11021, 22042.
What is 22042 in binary?
101011000011010 (hexadecimal 561A, octal 53032).
What is the square root of 22042?
About 148.4655.
Is 22042 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22042?
22042 is a happy number: repeatedly adding the squares of its digits reaches 1.