The number 87675
87675 is a composite number with 24 divisors. Its prime factorisation is 3 × × 7 × 167. Divisors (24): 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 167, 175, 501, 525, 835, 1169 … 87675.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87675 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87675 is composite. Its prime factorisation is
- 3
The divisors add up to 166656; without 87675 itself that is 78981, so 87675 is deficient (78981 is less than 87675). Euler's totient φ(87675) = 39840 numbers up to 87675 share no factor with it.
- 4
The digits of 87675 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87675 = 3 \times 5^{2} \times 7 \times 167 \]87675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 166656 |
| Euler totient φ(n) | 39840 |
| Square | 7686905625 |
| Cube | 673949450671875 |
| Square root | 296.099645 (= 5√3507) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7675 × |
87675 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and seventy-five |
| Binary (base 2) | 10101011001111011 |
| Octal (base 8) | 253173 |
| Hexadecimal (base 16) | 1567B |
| Base 3 | 11110021020 |
| As time | 87675 seconds = 24 h 21 min 15 s |
Is 87675 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 (87675 ÷ 3 = 29225) | 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 (87675 ÷ 5 = 17535) | 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 | Yes (87675 ÷ 7 = 12525) | 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 | 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 5) | 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 87675 a prime number?
No. 87675 = 3 × × 7 × 167, so it is divisible by 3.
What are the factors of 87675?
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 167, 175, 501, 525, 835, 1169, 2505, 3507, 4175, 5845, 12525, 17535, 29225, 87675.
What is 87675 in binary?
10101011001111011 (hexadecimal 1567B, octal 253173).
What is the square root of 87675?
About 296.0996, exactly 5√3507.
Is 87675 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 87675?
It is a composite number with 24 divisors.