The number 42225
42225 is a composite number with 12 divisors. Its prime factorisation is 3 × × 563. Divisors (12): 1, 3, 5, 15, 25, 75, 563, 1689, 2815, 8445, 14075, 42225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42225: a Harshad number: divisible by its digit sum 15.
- 2
42225 is composite. Its prime factorisation is
- 3
The divisors add up to 69936; without 42225 itself that is 27711, so 42225 is deficient (27711 is less than 42225). Euler's totient φ(42225) = 22480 numbers up to 42225 share no factor with it.
- 4
The digits of 42225 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42225 = 3 \times 5^{2} \times 563 \]42225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 69936 |
| Euler totient φ(n) | 22480 |
| Square | 1782950625 |
| Cube | 75285090140625 |
| Square root | 205.487226 (= 5√1689) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2225 × |
42225 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twenty-five |
| Binary (base 2) | 1010010011110001 |
| Octal (base 8) | 122361 |
| Hexadecimal (base 16) | A4F1 |
| Base 3 | 2010220220 |
| As time | 42225 seconds = 11 h 43 min 45 s |
Is 42225 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 (42225 ÷ 3 = 14075) | 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 (42225 ÷ 5 = 8445) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42225 a prime number?
No. 42225 = 3 × × 563, so it is divisible by 3.
What are the factors of 42225?
1, 3, 5, 15, 25, 75, 563, 1689, 2815, 8445, 14075, 42225.
What is 42225 in binary?
1010010011110001 (hexadecimal A4F1, octal 122361).
What is the square root of 42225?
About 205.4872, exactly 5√1689.
Is 42225 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42225?
42225 is a Harshad number: divisible by its digit sum 15.