The number 43485
43485 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 223. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 223, 669, 1115, 2899, 3345, 8697, 14495, 43485.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43485: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43485 is composite. Its prime factorisation is
- 3
The divisors add up to 75264; without 43485 itself that is 31779, so 43485 is deficient (31779 is less than 43485). Euler's totient φ(43485) = 21312 numbers up to 43485 share no factor with it.
- 4
The digits of 43485 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43485 = 3 \times 5 \times 13 \times 223 \]
43485 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75264 |
| Euler totient φ(n) | 21312 |
| Square | 1890945225 |
| Cube | 82227753109125 |
| Square root | 208.530573 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3485 × |
43485 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and eighty-five |
| Binary (base 2) | 1010100111011101 |
| Octal (base 8) | 124735 |
| Hexadecimal (base 16) | A9DD |
| Base 3 | 2012122120 |
| As time | 43485 seconds = 12 h 4 min 45 s |
Is 43485 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 (43485 ÷ 3 = 14495) | 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 (43485 ÷ 5 = 8697) | 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 5) | 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 2) | 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 43485 a prime number?
No. 43485 = 3 × 5 × 13 × 223, so it is divisible by 3.
What are the factors of 43485?
1, 3, 5, 13, 15, 39, 65, 195, 223, 669, 1115, 2899, 3345, 8697, 14495, 43485.
What is 43485 in binary?
1010100111011101 (hexadecimal A9DD, octal 124735).
What is the square root of 43485?
About 208.5306.
Is 43485 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 43485?
43485 is a happy number: repeatedly adding the squares of its digits reaches 1.