The number 42922
42922 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 1951. Divisors (8): 1, 2, 11, 22, 1951, 3902, 21461, 42922.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42922: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42922 is composite. Its prime factorisation is
- 3
The divisors add up to 70272; without 42922 itself that is 27350, so 42922 is deficient (27350 is less than 42922). Euler's totient φ(42922) = 19500 numbers up to 42922 share no factor with it.
- 4
The digits of 42922 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42922 = 2 \times 11 \times 1951 \]
42922 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 70272 |
| Euler totient φ(n) | 19500 |
| Square | 1842298084 |
| Cube | 79075118361448 |
| Square root | 207.176253 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2922 × |
42922 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and twenty-two |
| Binary (base 2) | 1010011110101010 |
| Octal (base 8) | 123652 |
| Hexadecimal (base 16) | A7AA |
| Base 3 | 2011212201 |
| As time | 42922 seconds = 11 h 55 min 22 s |
Is 42922 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42922 ÷ 2 = 21461) | 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 5) | 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 | Yes (42922 ÷ 11 = 3902) | 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 42922 a prime number?
No. 42922 = 2 × 11 × 1951, so it is divisible by 2.
What are the factors of 42922?
1, 2, 11, 22, 1951, 3902, 21461, 42922.
What is 42922 in binary?
1010011110101010 (hexadecimal A7AA, octal 123652).
What is the square root of 42922?
About 207.1763.
Is 42922 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42922?
42922 is a happy number: repeatedly adding the squares of its digits reaches 1.