The number 87180
87180 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1453. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1453, 2906, 4359, 5812 … 87180.
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How to work it out
- 1
87180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87180 is composite. Its prime factorisation is
- 3
The divisors add up to 244272; without 87180 itself that is 157092, so 87180 is abundant (157092 is more than 87180). Euler's totient φ(87180) = 23232 numbers up to 87180 share no factor with it.
- 4
The digits of 87180 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87180 = 2^{2} \times 3 \times 5 \times 1453 \]87180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 244272 |
| Euler totient φ(n) | 23232 |
| Square | 7600352400 |
| Cube | 662598722232000 |
| Square root | 295.262595 (= 2√21795) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.718 × |
87180 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and eighty |
| Binary (base 2) | 10101010010001100 |
| Octal (base 8) | 252214 |
| Hexadecimal (base 16) | 1548C |
| Base 3 | 11102120220 |
| As time | 87180 seconds = 24 h 13 min 0 s |
Is 87180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87180 ÷ 2 = 43590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87180 ÷ 3 = 29060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87180 ÷ 4 = 21795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87180 ÷ 5 = 17436) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87180 ÷ 6 = 14530) | 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 4) | 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 (87180 ÷ 10 = 8718) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87180 ÷ 12 = 7265) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87180 a prime number?
No. 87180 = × 3 × 5 × 1453, so it is divisible by 2.
What are the factors of 87180?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1453, 2906, 4359, 5812, 7265, 8718, 14530, 17436, 21795, 29060, 43590, 87180.
What is 87180 in binary?
10101010010001100 (hexadecimal 1548C, octal 252214).
What is the square root of 87180?
About 295.2626, exactly 2√21795.
Is 87180 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87180?
It is a composite number with 24 divisors.