The number 67226
67226 is a composite number with 4 divisors. Its prime factorisation is 2 × 33613. Divisors (4): 1, 2, 33613, 67226.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67226: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 33613, the product of two primes.
- 2
67226 is composite. Its prime factorisation is
- 3
The divisors add up to 100842; without 67226 itself that is 33616, so 67226 is deficient (33616 is less than 67226). Euler's totient φ(67226) = 33612 numbers up to 67226 share no factor with it.
- 4
The digits of 67226 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67226 = 2 \times 33613 \]
67226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 100842 |
| Euler totient φ(n) | 33612 |
| Square | 4519335076 |
| Cube | 303816819819176 |
| Square root | 259.279772 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7226 × |
67226 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and twenty-six |
| Binary (base 2) | 10000011010011010 |
| Octal (base 8) | 203232 |
| Hexadecimal (base 16) | 1069A |
| Base 3 | 10102012212 |
| As time | 67226 seconds = 18 h 40 min 26 s |
Is 67226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67226 ÷ 2 = 33613) | 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 5) | 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 5) | 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 5) | 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 67226 a prime number?
No. 67226 = 2 × 33613, so it is divisible by 2.
What are the factors of 67226?
1, 2, 33613, 67226.
What is 67226 in binary?
10000011010011010 (hexadecimal 1069A, octal 203232).
What is the square root of 67226?
About 259.2798.
Is 67226 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67226?
67226 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 33613, the product of two primes.