The number 4225
4225 is a perfect square (65²). Its prime factorisation is × . Divisors (9): 1, 5, 13, 25, 65, 169, 325, 845, 4225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4225: a perfect square (65²); a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.
- 2
4225 is composite. Its prime factorisation is
- 3
The divisors add up to 5673; without 4225 itself that is 1448, so 4225 is deficient (1448 is less than 4225). Euler's totient φ(4225) = 3120 numbers up to 4225 share no factor with it.
- 4
The digits of 4225 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4225 = 5^{2} \times 13^{2} \]4225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 5673 |
| Euler totient φ(n) | 3120 |
| Square | 17850625 |
| Cube | 75418890625 |
| Square root | 65 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 56 |
| Scientific notation | 4.225 × |
| Perfect power |
4225 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and twenty-five |
| Binary (base 2) | 1000010000001 |
| Octal (base 8) | 10201 |
| Hexadecimal (base 16) | 1081 |
| Base 3 | 12210111 |
| As time | 4225 seconds = 1 h 10 min 25 s |
Is 4225 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 (4225 ÷ 5 = 845) | 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 4) | 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 1) | 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 4225 a prime number?
No. 4225 = × , so it is divisible by 5.
What are the factors of 4225?
1, 5, 13, 25, 65, 169, 325, 845, 4225.
What is 4225 in binary?
1000010000001 (hexadecimal 1081, octal 10201).
What is the square root of 4225?
65, because 65 × 65 = 4225.
Is 4225 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4225?
4225 is a perfect square (65²); a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13.