The number 73227
73227 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 317. Divisors (16): 1, 3, 7, 11, 21, 33, 77, 231, 317, 951, 2219, 3487, 6657, 10461, 24409, 73227.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73227: a Harshad number: divisible by its digit sum 21.
- 2
73227 is composite. Its prime factorisation is
- 3
The divisors add up to 122112; without 73227 itself that is 48885, so 73227 is deficient (48885 is less than 73227). Euler's totient φ(73227) = 37920 numbers up to 73227 share no factor with it.
- 4
The digits of 73227 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73227 = 3 \times 7 \times 11 \times 317 \]
73227 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122112 |
| Euler totient φ(n) | 37920 |
| Square | 5362193529 |
| Cube | 392657345548083 |
| Square root | 270.604878 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3227 × |
73227 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and twenty-seven |
| Binary (base 2) | 10001111000001011 |
| Octal (base 8) | 217013 |
| Hexadecimal (base 16) | 11E0B |
| Base 3 | 10201110010 |
| As time | 73227 seconds = 20 h 20 min 27 s |
Is 73227 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 | Yes (73227 ÷ 3 = 24409) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73227 ÷ 7 = 10461) | 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 3) | 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 | Yes (73227 ÷ 11 = 6657) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73227 a prime number?
No. 73227 = 3 × 7 × 11 × 317, so it is divisible by 3.
What are the factors of 73227?
1, 3, 7, 11, 21, 33, 77, 231, 317, 951, 2219, 3487, 6657, 10461, 24409, 73227.
What is 73227 in binary?
10001111000001011 (hexadecimal 11E0B, octal 217013).
What is the square root of 73227?
About 270.6049.
Is 73227 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73227?
73227 is a Harshad number: divisible by its digit sum 21.