The number 16227
16227 is a composite number with 8 divisors. Its prime factorisation is × 601. Divisors (8): 1, 3, 9, 27, 601, 1803, 5409, 16227.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16227: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16227 is composite. Its prime factorisation is
- 3
The divisors add up to 24080; without 16227 itself that is 7853, so 16227 is deficient (7853 is less than 16227). Euler's totient φ(16227) = 10800 numbers up to 16227 share no factor with it.
- 4
The digits of 16227 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16227 = 3^{3} \times 601 \]16227 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24080 |
| Euler totient φ(n) | 10800 |
| Square | 263315529 |
| Cube | 4272821089083 |
| Square root | 127.385242 (= 3√1803) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6227 × |
16227 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and twenty-seven |
| Binary (base 2) | 11111101100011 |
| Octal (base 8) | 37543 |
| Hexadecimal (base 16) | 3F63 |
| Base 3 | 211021000 |
| As time | 16227 seconds = 4 h 30 min 27 s |
Is 16227 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 (16227 ÷ 3 = 5409) | 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 | 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 | Yes (16227 ÷ 9 = 1803) | 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 2) | 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 16227 a prime number?
No. 16227 = × 601, so it is divisible by 3.
What are the factors of 16227?
1, 3, 9, 27, 601, 1803, 5409, 16227.
What is 16227 in binary?
11111101100011 (hexadecimal 3F63, octal 37543).
What is the square root of 16227?
About 127.3852, exactly 3√1803.
Is 16227 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16227?
16227 is a happy number: repeatedly adding the squares of its digits reaches 1.