The number 87075
87075 is a composite number with 30 divisors. Its prime factorisation is × × 43. Divisors (30): 1, 3, 5, 9, 15, 25, 27, 43, 45, 75, 81, 129, 135, 215, 225, 387 … 87075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87075: a Harshad number: divisible by its digit sum 27.
- 2
87075 is composite. Its prime factorisation is
- 3
The divisors add up to 165044; without 87075 itself that is 77969, so 87075 is deficient (77969 is less than 87075). Euler's totient φ(87075) = 45360 numbers up to 87075 share no factor with it.
- 4
The digits of 87075 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87075 = 3^{4} \times 5^{2} \times 43 \]87075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 165044 |
| Euler totient φ(n) | 45360 |
| Square | 7582055625 |
| Cube | 660207493546875 |
| Square root | 295.084734 (= 45√43) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.7075 × |
87075 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and seventy-five |
| Binary (base 2) | 10101010000100011 |
| Octal (base 8) | 252043 |
| Hexadecimal (base 16) | 15423 |
| Base 3 | 11102110000 |
| As time | 87075 seconds = 24 h 11 min 15 s |
Is 87075 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 (87075 ÷ 3 = 29025) | 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 (87075 ÷ 5 = 17415) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87075 ÷ 9 = 9675) | 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 10) | 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 87075 a prime number?
No. 87075 = × × 43, so it is divisible by 3.
What are the factors of 87075?
1, 3, 5, 9, 15, 25, 27, 43, 45, 75, 81, 129, 135, 215, 225, 387, 405, 645, 675, 1075, 1161, 1935, 2025, 3225, 3483, 5805, 9675, 17415, 29025, 87075.
What is 87075 in binary?
10101010000100011 (hexadecimal 15423, octal 252043).
What is the square root of 87075?
About 295.0847, exactly 45√43.
Is 87075 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87075?
87075 is a Harshad number: divisible by its digit sum 27.