The number 87126
87126 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 1117. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 1117, 2234, 3351, 6702, 14521, 29042, 43563, 87126.
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How to work it out
- 1
87126 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87126 is composite. Its prime factorisation is
- 3
The divisors add up to 187824; without 87126 itself that is 100698, so 87126 is abundant (100698 is more than 87126). Euler's totient φ(87126) = 26784 numbers up to 87126 share no factor with it.
- 4
The digits of 87126 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87126 = 2 \times 3 \times 13 \times 1117 \]
87126 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 187824 |
| Euler totient φ(n) | 26784 |
| Square | 7590939876 |
| Cube | 661368227636376 |
| Square root | 295.171137 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7126 × |
87126 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and twenty-six |
| Binary (base 2) | 10101010001010110 |
| Octal (base 8) | 252126 |
| Hexadecimal (base 16) | 15456 |
| Base 3 | 11102111220 |
| As time | 87126 seconds = 24 h 12 min 6 s |
Is 87126 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87126 ÷ 2 = 43563) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87126 ÷ 3 = 29042) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87126 ÷ 6 = 14521) | 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 | No (remainder 6) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 87126 a prime number?
No. 87126 = 2 × 3 × 13 × 1117, so it is divisible by 2.
What are the factors of 87126?
1, 2, 3, 6, 13, 26, 39, 78, 1117, 2234, 3351, 6702, 14521, 29042, 43563, 87126.
What is 87126 in binary?
10101010001010110 (hexadecimal 15456, octal 252126).
What is the square root of 87126?
About 295.1711.
Is 87126 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87126?
It is a composite number with 16 divisors.