The number 20422
20422 is a composite number with 4 divisors. Its prime factorisation is 2 × 10211. Divisors (4): 1, 2, 10211, 20422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20422: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 10211, the product of two primes.
- 2
20422 is composite. Its prime factorisation is
- 3
The divisors add up to 30636; without 20422 itself that is 10214, so 20422 is deficient (10214 is less than 20422). Euler's totient φ(20422) = 10210 numbers up to 20422 share no factor with it.
- 4
The digits of 20422 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 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20422 = 2 \times 10211 \]
20422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 30636 |
| Euler totient φ(n) | 10210 |
| Square | 417058084 |
| Cube | 8517160191448 |
| Square root | 142.905563 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 61 |
| Scientific notation | 2.0422 × |
20422 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and twenty-two |
| Binary (base 2) | 100111111000110 |
| Octal (base 8) | 47706 |
| Hexadecimal (base 16) | 4FC6 |
| Base 3 | 1001000101 |
| As time | 20422 seconds = 5 h 40 min 22 s |
Is 20422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20422 ÷ 2 = 10211) | 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 3) | 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 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 6) | 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 20422 a prime number?
No. 20422 = 2 × 10211, so it is divisible by 2.
What are the factors of 20422?
1, 2, 10211, 20422.
What is 20422 in binary?
100111111000110 (hexadecimal 4FC6, octal 47706).
What is the square root of 20422?
About 142.9056.
Is 20422 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20422?
20422 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 10211, the product of two primes.