The number 87112
87112 is a composite number with 8 divisors. Its prime factorisation is × 10889. Divisors (8): 1, 2, 4, 8, 10889, 21778, 43556, 87112.
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How to work it out
- 1
87112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87112 is composite. Its prime factorisation is
- 3
The divisors add up to 163350; without 87112 itself that is 76238, so 87112 is deficient (76238 is less than 87112). Euler's totient φ(87112) = 43552 numbers up to 87112 share no factor with it.
- 4
The digits of 87112 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87112 = 2^{3} \times 10889 \]87112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 163350 |
| Euler totient φ(n) | 43552 |
| Square | 7588500544 |
| Cube | 661049459388928 |
| Square root | 295.147421 (= 2√21778) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7112 × |
87112 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and twelve |
| Binary (base 2) | 10101010001001000 |
| Octal (base 8) | 252110 |
| Hexadecimal (base 16) | 15448 |
| Base 3 | 11102111101 |
| As time | 87112 seconds = 24 h 11 min 52 s |
Is 87112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87112 ÷ 2 = 43556) | 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 | Yes (87112 ÷ 4 = 21778) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 (87112 ÷ 8 = 10889) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87112 a prime number?
No. 87112 = × 10889, so it is divisible by 2.
What are the factors of 87112?
1, 2, 4, 8, 10889, 21778, 43556, 87112.
What is 87112 in binary?
10101010001001000 (hexadecimal 15448, octal 252110).
What is the square root of 87112?
About 295.1474, exactly 2√21778.
Is 87112 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 87112?
It is a composite number with 8 divisors.