The number 87750
87750 is a composite number with 64 divisors. Its prime factorisation is 2 × × × 13. Divisors (64): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45 … 87750.
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How to work it out
- 1
What is special about 87750: a Harshad number: divisible by its digit sum 27.
- 2
87750 is composite. Its prime factorisation is
- 3
The divisors add up to 262080; without 87750 itself that is 174330, so 87750 is abundant (174330 is more than 87750). Euler's totient φ(87750) = 21600 numbers up to 87750 share no factor with it.
- 4
The digits of 87750 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87750 = 2 \times 3^{3} \times 5^{3} \times 13 \]87750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 262080 |
| Euler totient φ(n) | 21600 |
| Square | 7700062500 |
| Cube | 675680484375000 |
| Square root | 296.226265 (= 15√390) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.775 × |
87750 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and fifty |
| Binary (base 2) | 10101011011000110 |
| Octal (base 8) | 253306 |
| Hexadecimal (base 16) | 156C6 |
| Base 3 | 11110101000 |
| As time | 87750 seconds = 24 h 22 min 30 s |
Is 87750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87750 ÷ 2 = 43875) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87750 ÷ 3 = 29250) | 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 (87750 ÷ 5 = 17550) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87750 ÷ 6 = 14625) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (87750 ÷ 9 = 9750) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87750 ÷ 10 = 8775) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87750 a prime number?
No. 87750 = 2 × × × 13, so it is divisible by 2.
What are the factors of 87750?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 27, 30, 39, 45, 50, 54, 65, 75, 78, 90, 117, 125, 130, 135, 150, 195, 225, 234, 250, 270, 325, 351, 375, 390, 450, 585, 650, 675, 702, 750, 975, 1125, 1170, 1350, 1625, 1755, 1950, 2250, 2925, 3250, 3375, 3510, 4875, 5850, 6750, 8775, 9750, 14625, 17550, 29250, 43875, 87750.
What is 87750 in binary?
10101011011000110 (hexadecimal 156C6, octal 253306).
What is the square root of 87750?
About 296.2263, exactly 15√390.
Is 87750 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87750?
87750 is a Harshad number: divisible by its digit sum 27.