The number 27622
27622 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1973. Divisors (8): 1, 2, 7, 14, 1973, 3946, 13811, 27622.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27622: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27622 is composite. Its prime factorisation is
- 3
The divisors add up to 47376; without 27622 itself that is 19754, so 27622 is deficient (19754 is less than 27622). Euler's totient φ(27622) = 11832 numbers up to 27622 share no factor with it.
- 4
The digits of 27622 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 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27622 = 2 \times 7 \times 1973 \]
27622 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 47376 |
| Euler totient φ(n) | 11832 |
| Square | 762974884 |
| Cube | 21074892245848 |
| Square root | 166.198676 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7622 × |
27622 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and twenty-two |
| Binary (base 2) | 110101111100110 |
| Octal (base 8) | 65746 |
| Hexadecimal (base 16) | 6BE6 |
| Base 3 | 1101220001 |
| As time | 27622 seconds = 7 h 40 min 22 s |
Is 27622 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27622 ÷ 2 = 13811) | 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 | Yes (27622 ÷ 7 = 3946) | 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 1) | 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 27622 a prime number?
No. 27622 = 2 × 7 × 1973, so it is divisible by 2.
What are the factors of 27622?
1, 2, 7, 14, 1973, 3946, 13811, 27622.
What is 27622 in binary?
110101111100110 (hexadecimal 6BE6, octal 65746).
What is the square root of 27622?
About 166.1987.
Is 27622 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27622?
27622 is a happy number: repeatedly adding the squares of its digits reaches 1.