The number 226
226 is a composite number with 4 divisors. Its prime factorisation is 2 × 113. Divisors (4): 1, 2, 113, 226.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 226: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 113, the product of two primes.
- 2
226 is composite. Its prime factorisation is
- 3
The divisors add up to 342; without 226 itself that is 116, so 226 is deficient (116 is less than 226). Euler's totient φ(226) = 112 numbers up to 226 share no factor with it.
- 4
The digits of 226 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 13 steps to reach 1.
LaTeX source of the formulas on this page
\[ 226 = 2 \times 113 \]
226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 342 |
| Euler totient φ(n) | 112 |
| Square | 51076 |
| Cube | 11543176 |
| Square root | 15.033296 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 13 |
| Scientific notation | 2.26 × |
226 in other forms
| Form | Value |
|---|---|
| In words | two hundred and twenty-six |
| Roman numerals | CCXXVI |
| Binary (base 2) | 11100010 |
| Octal (base 8) | 342 |
| Hexadecimal (base 16) | E2 |
| Base 3 | 22101 |
| As time | 226 seconds = 3 min 46 s |
Is 226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (226 ÷ 2 = 113) | 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 1) | 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 2) | 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 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 226 a prime number?
No. 226 = 2 × 113, so it is divisible by 2.
What are the factors of 226?
1, 2, 113, 226.
What is 226 in binary?
11100010 (hexadecimal E2, octal 342).
What is the square root of 226?
About 15.0333.
What is 226 in Roman numerals?
CCXXVI.
Is 226 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 226?
226 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 113, the product of two primes.