The number 87500
87500 is a composite number with 36 divisors. Its prime factorisation is × × 7. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140 … 87500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87500: a Harshad number: divisible by its digit sum 20.
- 2
87500 is composite. Its prime factorisation is
- 3
The divisors add up to 218736; without 87500 itself that is 131236, so 87500 is abundant (131236 is more than 87500). Euler's totient φ(87500) = 30000 numbers up to 87500 share no factor with it.
- 4
The digits of 87500 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87500 = 2^{2} \times 5^{5} \times 7 \]87500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 218736 |
| Euler totient φ(n) | 30000 |
| Square | 7656250000 |
| Cube | 669921875000000 |
| Square root | 295.803989 (= 50√35) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.75 × |
87500 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred |
| Binary (base 2) | 10101010111001100 |
| Octal (base 8) | 252714 |
| Hexadecimal (base 16) | 155CC |
| Base 3 | 11110000202 |
| As time | 87500 seconds = 24 h 18 min 20 s |
Is 87500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87500 ÷ 2 = 43750) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87500 ÷ 4 = 21875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87500 ÷ 5 = 17500) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87500 ÷ 7 = 12500) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87500 ÷ 10 = 8750) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87500 a prime number?
No. 87500 = × × 7, so it is divisible by 2.
What are the factors of 87500?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 625, 700, 875, 1250, 1750, 2500, 3125, 3500, 4375, 6250, 8750, 12500, 17500, 21875, 43750, 87500.
What is 87500 in binary?
10101010111001100 (hexadecimal 155CC, octal 252714).
What is the square root of 87500?
About 295.8040, exactly 50√35.
Is 87500 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 87500?
87500 is a Harshad number: divisible by its digit sum 20.