The number 40228
40228 is a composite number with 12 divisors. Its prime factorisation is × 89 × 113. Divisors (12): 1, 2, 4, 89, 113, 178, 226, 356, 452, 10057, 20114, 40228.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40228 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40228 is composite. Its prime factorisation is
- 3
The divisors add up to 71820; without 40228 itself that is 31592, so 40228 is deficient (31592 is less than 40228). Euler's totient φ(40228) = 19712 numbers up to 40228 share no factor with it.
- 4
The digits of 40228 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40228 = 2^{2} \times 89 \times 113 \]40228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71820 |
| Euler totient φ(n) | 19712 |
| Square | 1618291984 |
| Cube | 65100649932352 |
| Square root | 200.569190 (= 2√10057) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0228 × |
40228 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and twenty-eight |
| Binary (base 2) | 1001110100100100 |
| Octal (base 8) | 116444 |
| Hexadecimal (base 16) | 9D24 |
| Base 3 | 2001011221 |
| As time | 40228 seconds = 11 h 10 min 28 s |
Is 40228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40228 ÷ 2 = 20114) | 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 | Yes (40228 ÷ 4 = 10057) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40228 a prime number?
No. 40228 = × 89 × 113, so it is divisible by 2.
What are the factors of 40228?
1, 2, 4, 89, 113, 178, 226, 356, 452, 10057, 20114, 40228.
What is 40228 in binary?
1001110100100100 (hexadecimal 9D24, octal 116444).
What is the square root of 40228?
About 200.5692, exactly 2√10057.
Is 40228 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40228?
It is a composite number with 12 divisors.