The number 87250
87250 is a composite number with 16 divisors. Its prime factorisation is 2 × × 349. Divisors (16): 1, 2, 5, 10, 25, 50, 125, 250, 349, 698, 1745, 3490, 8725, 17450, 43625, 87250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87250 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 87250 itself that is 76550, so 87250 is deficient (76550 is less than 87250). Euler's totient φ(87250) = 34800 numbers up to 87250 share no factor with it.
- 4
The digits of 87250 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87250 = 2 \times 5^{3} \times 349 \]87250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 34800 |
| Square | 7612562500 |
| Cube | 664196078125000 |
| Square root | 295.381110 (= 5√3490) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.725 × |
87250 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand two hundred and fifty |
| Binary (base 2) | 10101010011010010 |
| Octal (base 8) | 252322 |
| Hexadecimal (base 16) | 154D2 |
| Base 3 | 11102200111 |
| As time | 87250 seconds = 24 h 14 min 10 s |
Is 87250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87250 ÷ 2 = 43625) | 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 (87250 ÷ 5 = 17450) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87250 ÷ 10 = 8725) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 87250 a prime number?
No. 87250 = 2 × × 349, so it is divisible by 2.
What are the factors of 87250?
1, 2, 5, 10, 25, 50, 125, 250, 349, 698, 1745, 3490, 8725, 17450, 43625, 87250.
What is 87250 in binary?
10101010011010010 (hexadecimal 154D2, octal 252322).
What is the square root of 87250?
About 295.3811, exactly 5√3490.
Is 87250 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87250?
It is a composite number with 16 divisors.