The number 87080
87080 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 311. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280 … 87080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87080 is composite. Its prime factorisation is
- 3
The divisors add up to 224640; without 87080 itself that is 137560, so 87080 is abundant (137560 is more than 87080). Euler's totient φ(87080) = 29760 numbers up to 87080 share no factor with it.
- 4
The digits of 87080 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87080 = 2^{3} \times 5 \times 7 \times 311 \]87080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 224640 |
| Euler totient φ(n) | 29760 |
| Square | 7582926400 |
| Cube | 660321230912000 |
| Square root | 295.093206 (= 2√21770) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.708 × |
87080 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and eighty |
| Binary (base 2) | 10101010000101000 |
| Octal (base 8) | 252050 |
| Hexadecimal (base 16) | 15428 |
| Base 3 | 11102110012 |
| As time | 87080 seconds = 24 h 11 min 20 s |
Is 87080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87080 ÷ 2 = 43540) | 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 (87080 ÷ 4 = 21770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87080 ÷ 5 = 17416) | 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 (87080 ÷ 7 = 12440) | 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 (87080 ÷ 8 = 10885) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87080 ÷ 10 = 8708) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 87080 a prime number?
No. 87080 = × 5 × 7 × 311, so it is divisible by 2.
What are the factors of 87080?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 311, 622, 1244, 1555, 2177, 2488, 3110, 4354, 6220, 8708, 10885, 12440, 17416, 21770, 43540, 87080.
What is 87080 in binary?
10101010000101000 (hexadecimal 15428, octal 252050).
What is the square root of 87080?
About 295.0932, exactly 2√21770.
Is 87080 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 87080?
It is a composite number with 32 divisors.