The number 72227
72227 is a palindromic prime: it reads the same backwards and is prime, a twin prime (72227 and 72229 are both prime) and the 7149th prime number. Its only divisors are 1 and 72227.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72227: a palindromic prime: it reads the same backwards and is prime; a twin prime (72227 and 72229 are both prime); the 7149th prime number; a palindrome: it reads 72227 backwards too.
- 2
72227 is prime, so its only factors are 1 and 72227. It is the 7149th prime; the next prime is 72229 and the one before is 72223.
- 3
The divisors add up to 72228; without 72227 itself that is 1, so 72227 is deficient (1 is less than 72227). Euler's totient φ(72227) = 72226 numbers up to 72227 share no factor with it.
- 4
The digits of 72227 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 187 steps to reach 1.
72227 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72228 |
| Euler totient φ(n) | 72226 |
| Square | 5216739529 |
| Cube | 376789445961083 |
| Square root | 268.750814 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2227 × |
72227 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand two hundred and twenty-seven |
| Binary (base 2) | 10001101000100011 |
| Octal (base 8) | 215043 |
| Hexadecimal (base 16) | 11A23 |
| Base 3 | 10200002002 |
| As time | 72227 seconds = 20 h 3 min 47 s |
Is 72227 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72227 a prime number?
Yes. 72227 is divisible only by 1 and itself.
What are the factors of 72227?
1, 72227.
What is 72227 in binary?
10001101000100011 (hexadecimal 11A23, octal 215043).
What is the square root of 72227?
About 268.7508.
Is 72227 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 72227?
72227 is a palindromic prime: it reads the same backwards and is prime; a twin prime (72227 and 72229 are both prime); the 7149th prime number; a palindrome: it reads 72227 backwards too.