The number 87550
87550 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 103. Divisors (24): 1, 2, 5, 10, 17, 25, 34, 50, 85, 103, 170, 206, 425, 515, 850, 1030 … 87550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87550: a Harshad number: divisible by its digit sum 25.
- 2
87550 is composite. Its prime factorisation is
- 3
The divisors add up to 174096; without 87550 itself that is 86546, so 87550 is deficient (86546 is less than 87550). Euler's totient φ(87550) = 32640 numbers up to 87550 share no factor with it.
- 4
The digits of 87550 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87550 = 2 \times 5^{2} \times 17 \times 103 \]87550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 174096 |
| Euler totient φ(n) | 32640 |
| Square | 7665002500 |
| Cube | 671070968875000 |
| Square root | 295.888493 (= 5√3502) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.755 × |
87550 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and fifty |
| Binary (base 2) | 10101010111111110 |
| Octal (base 8) | 252776 |
| Hexadecimal (base 16) | 155FE |
| Base 3 | 11110002121 |
| As time | 87550 seconds = 24 h 19 min 10 s |
Is 87550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87550 ÷ 2 = 43775) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87550 ÷ 5 = 17510) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87550 ÷ 10 = 8755) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87550 a prime number?
No. 87550 = 2 × × 17 × 103, so it is divisible by 2.
What are the factors of 87550?
1, 2, 5, 10, 17, 25, 34, 50, 85, 103, 170, 206, 425, 515, 850, 1030, 1751, 2575, 3502, 5150, 8755, 17510, 43775, 87550.
What is 87550 in binary?
10101010111111110 (hexadecimal 155FE, octal 252776).
What is the square root of 87550?
About 295.8885, exactly 5√3502.
Is 87550 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 87550?
87550 is a Harshad number: divisible by its digit sum 25.