The number 16225
16225 is a composite number with 12 divisors. Its prime factorisation is × 11 × 59. Divisors (12): 1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16225: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16225 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 16225 itself that is 6095, so 16225 is deficient (6095 is less than 16225). Euler's totient φ(16225) = 11600 numbers up to 16225 share no factor with it.
- 4
The digits of 16225 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16225 = 5^{2} \times 11 \times 59 \]16225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 11600 |
| Square | 263250625 |
| Cube | 4271241390625 |
| Square root | 127.377392 (= 5√649) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6225 × |
16225 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and twenty-five |
| Binary (base 2) | 11111101100001 |
| Octal (base 8) | 37541 |
| Hexadecimal (base 16) | 3F61 |
| Base 3 | 211020221 |
| As time | 16225 seconds = 4 h 30 min 25 s |
Is 16225 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 (16225 ÷ 5 = 3245) | 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 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16225 ÷ 11 = 1475) | 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 16225 a prime number?
No. 16225 = × 11 × 59, so it is divisible by 5.
What are the factors of 16225?
1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225.
What is 16225 in binary?
11111101100001 (hexadecimal 3F61, octal 37541).
What is the square root of 16225?
About 127.3774, exactly 5√649.
Is 16225 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16225?
16225 is a happy number: repeatedly adding the squares of its digits reaches 1.