The number 87000
87000 is a composite number with 64 divisors. Its prime factorisation is × 3 × × 29. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 29, 30, 40 … 87000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87000: a Harshad number: divisible by its digit sum 15.
- 2
87000 is composite. Its prime factorisation is
- 3
The divisors add up to 280800; without 87000 itself that is 193800, so 87000 is abundant (193800 is more than 87000). Euler's totient φ(87000) = 22400 numbers up to 87000 share no factor with it.
- 4
The digits of 87000 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87000 = 2^{3} \times 3 \times 5^{3} \times 29 \]87000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 280800 |
| Euler totient φ(n) | 22400 |
| Square | 7569000000 |
| Cube | 658503000000000 |
| Square root | 294.957624 (= 10√870) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7 × |
87000 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand |
| Binary (base 2) | 10101001111011000 |
| Octal (base 8) | 251730 |
| Hexadecimal (base 16) | 153D8 |
| Base 3 | 11102100020 |
| As time | 87000 seconds = 24 h 10 min 0 s |
Is 87000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87000 ÷ 2 = 43500) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87000 ÷ 3 = 29000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87000 ÷ 4 = 21750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87000 ÷ 5 = 17400) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87000 ÷ 6 = 14500) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (87000 ÷ 8 = 10875) | 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 | Yes (87000 ÷ 10 = 8700) | 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 | Yes (87000 ÷ 12 = 7250) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87000 a prime number?
No. 87000 = × 3 × × 29, so it is divisible by 2.
What are the factors of 87000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 29, 30, 40, 50, 58, 60, 75, 87, 100, 116, 120, 125, 145, 150, 174, 200, 232, 250, 290, 300, 348, 375, 435, 500, 580, 600, 696, 725, 750, 870, 1000, 1160, 1450, 1500, 1740, 2175, 2900, 3000, 3480, 3625, 4350, 5800, 7250, 8700, 10875, 14500, 17400, 21750, 29000, 43500, 87000.
What is 87000 in binary?
10101001111011000 (hexadecimal 153D8, octal 251730).
What is the square root of 87000?
About 294.9576, exactly 10√870.
Is 87000 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 87000?
87000 is a Harshad number: divisible by its digit sum 15.