The number 16245
16245 is a composite number with 18 divisors. Its prime factorisation is × 5 × . Divisors (18): 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 361, 855, 1083, 1805, 3249 … 16245.
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How to work it out
- 1
What is special about 16245: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16245 is composite. Its prime factorisation is
- 3
The divisors add up to 29718; without 16245 itself that is 13473, so 16245 is deficient (13473 is less than 16245). Euler's totient φ(16245) = 8208 numbers up to 16245 share no factor with it.
- 4
The digits of 16245 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16245 = 3^{2} \times 5 \times 19^{2} \]16245 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 29718 |
| Euler totient φ(n) | 8208 |
| Square | 263900025 |
| Cube | 4287055906125 |
| Square root | 127.455875 (= 57√5) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6245 × |
16245 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and forty-five |
| Binary (base 2) | 11111101110101 |
| Octal (base 8) | 37565 |
| Hexadecimal (base 16) | 3F75 |
| Base 3 | 211021200 |
| As time | 16245 seconds = 4 h 30 min 45 s |
Is 16245 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 (16245 ÷ 3 = 5415) | 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 (16245 ÷ 5 = 3249) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16245 ÷ 9 = 1805) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16245 a prime number?
No. 16245 = × 5 × , so it is divisible by 3.
What are the factors of 16245?
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 361, 855, 1083, 1805, 3249, 5415, 16245.
What is 16245 in binary?
11111101110101 (hexadecimal 3F75, octal 37565).
What is the square root of 16245?
About 127.4559, exactly 57√5.
Is 16245 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16245?
16245 is a happy number: repeatedly adding the squares of its digits reaches 1.