The number 73845
73845 is a composite number with 16 divisors. Its prime factorisation is × 5 × 547. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 547, 1641, 2735, 4923, 8205, 14769, 24615, 73845.
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How to work it out
- 1
What is special about 73845: a Harshad number: divisible by its digit sum 27.
- 2
73845 is composite. Its prime factorisation is
- 3
The divisors add up to 131520; without 73845 itself that is 57675, so 73845 is deficient (57675 is less than 73845). Euler's totient φ(73845) = 39312 numbers up to 73845 share no factor with it.
- 4
The digits of 73845 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73845 = 3^{3} \times 5 \times 547 \]73845 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131520 |
| Euler totient φ(n) | 39312 |
| Square | 5453084025 |
| Cube | 402682989826125 |
| Square root | 271.744365 (= 3√8205) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3845 × |
73845 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and forty-five |
| Binary (base 2) | 10010000001110101 |
| Octal (base 8) | 220165 |
| Hexadecimal (base 16) | 12075 |
| Base 3 | 10202022000 |
| As time | 73845 seconds = 20 h 30 min 45 s |
Is 73845 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 (73845 ÷ 3 = 24615) | 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 (73845 ÷ 5 = 14769) | 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 2) | 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 (73845 ÷ 9 = 8205) | 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 73845 a prime number?
No. 73845 = × 5 × 547, so it is divisible by 3.
What are the factors of 73845?
1, 3, 5, 9, 15, 27, 45, 135, 547, 1641, 2735, 4923, 8205, 14769, 24615, 73845.
What is 73845 in binary?
10010000001110101 (hexadecimal 12075, octal 220165).
What is the square root of 73845?
About 271.7444, exactly 3√8205.
Is 73845 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73845?
73845 is a Harshad number: divisible by its digit sum 27.