The number 55226
55226 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 521. Divisors (8): 1, 2, 53, 106, 521, 1042, 27613, 55226.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55226: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55226 is composite. Its prime factorisation is
- 3
The divisors add up to 84564; without 55226 itself that is 29338, so 55226 is deficient (29338 is less than 55226). Euler's totient φ(55226) = 27040 numbers up to 55226 share no factor with it.
- 4
The digits of 55226 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55226 = 2 \times 53 \times 521 \]
55226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84564 |
| Euler totient φ(n) | 27040 |
| Square | 3049911076 |
| Cube | 168434389083176 |
| Square root | 235.002128 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5226 × |
55226 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and twenty-six |
| Binary (base 2) | 1101011110111010 |
| Octal (base 8) | 153672 |
| Hexadecimal (base 16) | D7BA |
| Base 3 | 2210202102 |
| As time | 55226 seconds = 15 h 20 min 26 s |
Is 55226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55226 ÷ 2 = 27613) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55226 a prime number?
No. 55226 = 2 × 53 × 521, so it is divisible by 2.
What are the factors of 55226?
1, 2, 53, 106, 521, 1042, 27613, 55226.
What is 55226 in binary?
1101011110111010 (hexadecimal D7BA, octal 153672).
What is the square root of 55226?
About 235.0021.
Is 55226 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55226?
55226 is a happy number: repeatedly adding the squares of its digits reaches 1.