The number 40225
40225 is a composite number with 6 divisors. Its prime factorisation is Ć 1609. Divisors (6): 1, 5, 25, 1609, 8045, 40225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40225: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40225 is composite. Its prime factorisation is
- 3
The divisors add up to 49910; without 40225 itself that is 9685, so 40225 is deficient (9685 is less than 40225). Euler's totient Ļ(40225) = 32160 numbers up to 40225 share no factor with it.
- 4
The digits of 40225 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40225 = 5^{2} \times 1609 \]40225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 49910 |
| Euler totient Ļ(n) | 32160 |
| Square | 1618050625 |
| Cube | 65086086390625 |
| Square root | 200.561711 (= 5ā1609) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0225 Ć |
40225 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and twenty-five |
| Binary (base 2) | 1001110100100001 |
| Octal (base 8) | 116441 |
| Hexadecimal (base 16) | 9D21 |
| Base 3 | 2001011211 |
| As time | 40225 seconds = 11 h 10 min 25 s |
Is 40225 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40225 Ć· 5 = 8045) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40225 a prime number?
No. 40225 = Ć 1609, so it is divisible by 5.
What are the factors of 40225?
1, 5, 25, 1609, 8045, 40225.
What is 40225 in binary?
1001110100100001 (hexadecimal 9D21, octal 116441).
What is the square root of 40225?
About 200.5617, exactly 5ā1609.
Is 40225 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40225?
40225 is a happy number: repeatedly adding the squares of its digits reaches 1.