The number 72226
72226 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 67. Divisors (24): 1, 2, 7, 11, 14, 22, 49, 67, 77, 98, 134, 154, 469, 539, 737, 938 … 72226.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72226: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72226 is composite. Its prime factorisation is
- 3
The divisors add up to 139536; without 72226 itself that is 67310, so 72226 is deficient (67310 is less than 72226). Euler's totient φ(72226) = 27720 numbers up to 72226 share no factor with it.
- 4
The digits of 72226 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72226 = 2 \times 7^{2} \times 11 \times 67 \]72226 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 139536 |
| Euler totient φ(n) | 27720 |
| Square | 5216595076 |
| Cube | 376773795959176 |
| Square root | 268.748953 (= 7√1474) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2226 × |
72226 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and twenty-six |
| Binary (base 2) | 10001101000100010 |
| Octal (base 8) | 215042 |
| Hexadecimal (base 16) | 11A22 |
| Base 3 | 10200002001 |
| As time | 72226 seconds = 20 h 3 min 46 s |
Is 72226 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72226 ÷ 2 = 36113) | 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 | Yes (72226 ÷ 7 = 10318) | 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 | Yes (72226 ÷ 11 = 6566) | 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 72226 a prime number?
No. 72226 = 2 × × 11 × 67, so it is divisible by 2.
What are the factors of 72226?
1, 2, 7, 11, 14, 22, 49, 67, 77, 98, 134, 154, 469, 539, 737, 938, 1078, 1474, 3283, 5159, 6566, 10318, 36113, 72226.
What is 72226 in binary?
10001101000100010 (hexadecimal 11A22, octal 215042).
What is the square root of 72226?
About 268.7490, exactly 7√1474.
Is 72226 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 72226?
72226 is a happy number: repeatedly adding the squares of its digits reaches 1.