The number 87375
87375 is a composite number with 16 divisors. Its prime factorisation is 3 × × 233. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 233, 375, 699, 1165, 3495, 5825, 17475, 29125, 87375.
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How to work it out
- 1
87375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87375 is composite. Its prime factorisation is
- 3
The divisors add up to 146016; without 87375 itself that is 58641, so 87375 is deficient (58641 is less than 87375). Euler's totient φ(87375) = 46400 numbers up to 87375 share no factor with it.
- 4
The digits of 87375 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87375 = 3 \times 5^{3} \times 233 \]87375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 146016 |
| Euler totient φ(n) | 46400 |
| Square | 7634390625 |
| Cube | 667054880859375 |
| Square root | 295.592625 (= 5√3495) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7375 × |
87375 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and seventy-five |
| Binary (base 2) | 10101010101001111 |
| Octal (base 8) | 252517 |
| Hexadecimal (base 16) | 1554F |
| Base 3 | 11102212010 |
| As time | 87375 seconds = 24 h 16 min 15 s |
Is 87375 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 (87375 ÷ 3 = 29125) | 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 (87375 ÷ 5 = 17475) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87375 a prime number?
No. 87375 = 3 × × 233, so it is divisible by 3.
What are the factors of 87375?
1, 3, 5, 15, 25, 75, 125, 233, 375, 699, 1165, 3495, 5825, 17475, 29125, 87375.
What is 87375 in binary?
10101010101001111 (hexadecimal 1554F, octal 252517).
What is the square root of 87375?
About 295.5926, exactly 5√3495.
Is 87375 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87375?
It is a composite number with 16 divisors.