The number 73575
73575 is a composite number with 24 divisors. Its prime factorisation is × × 109. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 45, 75, 109, 135, 225, 327, 545, 675, 981 … 73575.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73575: a Harshad number: divisible by its digit sum 27.
- 2
73575 is composite. Its prime factorisation is
- 3
The divisors add up to 136400; without 73575 itself that is 62825, so 73575 is deficient (62825 is less than 73575). Euler's totient φ(73575) = 38880 numbers up to 73575 share no factor with it.
- 4
The digits of 73575 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 231 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73575 = 3^{3} \times 5^{2} \times 109 \]73575 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136400 |
| Euler totient φ(n) | 38880 |
| Square | 5413280625 |
| Cube | 398282121984375 |
| Square root | 271.247120 (= 15√327) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 231 |
| Scientific notation | 7.3575 × |
73575 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand five hundred and seventy-five |
| Binary (base 2) | 10001111101100111 |
| Octal (base 8) | 217547 |
| Hexadecimal (base 16) | 11F67 |
| Base 3 | 10201221000 |
| As time | 73575 seconds = 20 h 26 min 15 s |
Is 73575 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 (73575 ÷ 3 = 24525) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73575 ÷ 5 = 14715) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73575 ÷ 9 = 8175) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73575 a prime number?
No. 73575 = × × 109, so it is divisible by 3.
What are the factors of 73575?
1, 3, 5, 9, 15, 25, 27, 45, 75, 109, 135, 225, 327, 545, 675, 981, 1635, 2725, 2943, 4905, 8175, 14715, 24525, 73575.
What is 73575 in binary?
10001111101100111 (hexadecimal 11F67, octal 217547).
What is the square root of 73575?
About 271.2471, exactly 15√327.
Is 73575 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73575?
73575 is a Harshad number: divisible by its digit sum 27.