The number 21622
21622 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 569. Divisors (8): 1, 2, 19, 38, 569, 1138, 10811, 21622.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21622: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
21622 is composite. Its prime factorisation is
- 3
The divisors add up to 34200; without 21622 itself that is 12578, so 21622 is deficient (12578 is less than 21622). Euler's totient φ(21622) = 10224 numbers up to 21622 share no factor with it.
- 4
The digits of 21622 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21622 = 2 \times 19 \times 569 \]
21622 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34200 |
| Euler totient φ(n) | 10224 |
| Square | 467510884 |
| Cube | 10108520333848 |
| Square root | 147.044211 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.1622 × |
21622 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand six hundred and twenty-two |
| Binary (base 2) | 101010001110110 |
| Octal (base 8) | 52166 |
| Hexadecimal (base 16) | 5476 |
| Base 3 | 1002122211 |
| As time | 21622 seconds = 6 h 0 min 22 s |
Is 21622 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21622 ÷ 2 = 10811) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | 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 21622 a prime number?
No. 21622 = 2 × 19 × 569, so it is divisible by 2.
What are the factors of 21622?
1, 2, 19, 38, 569, 1138, 10811, 21622.
What is 21622 in binary?
101010001110110 (hexadecimal 5476, octal 52166).
What is the square root of 21622?
About 147.0442.
Is 21622 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 21622?
21622 is a happy number: repeatedly adding the squares of its digits reaches 1.