The number 87138
87138 is a composite number with 24 divisors. Its prime factorisation is 2 × × 47 × 103. Divisors (24): 1, 2, 3, 6, 9, 18, 47, 94, 103, 141, 206, 282, 309, 423, 618, 846 … 87138.
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How to work it out
- 1
87138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87138 is composite. Its prime factorisation is
- 3
The divisors add up to 194688; without 87138 itself that is 107550, so 87138 is abundant (107550 is more than 87138). Euler's totient φ(87138) = 28152 numbers up to 87138 share no factor with it.
- 4
The digits of 87138 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87138 = 2 \times 3^{2} \times 47 \times 103 \]87138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 194688 |
| Euler totient φ(n) | 28152 |
| Square | 7593031044 |
| Cube | 661641539112072 |
| Square root | 295.191463 (= 3√9682) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7138 × |
87138 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and thirty-eight |
| Binary (base 2) | 10101010001100010 |
| Octal (base 8) | 252142 |
| Hexadecimal (base 16) | 15462 |
| Base 3 | 11102112100 |
| As time | 87138 seconds = 24 h 12 min 18 s |
Is 87138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87138 ÷ 2 = 43569) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87138 ÷ 3 = 29046) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87138 ÷ 6 = 14523) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87138 ÷ 9 = 9682) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 87138 a prime number?
No. 87138 = 2 × × 47 × 103, so it is divisible by 2.
What are the factors of 87138?
1, 2, 3, 6, 9, 18, 47, 94, 103, 141, 206, 282, 309, 423, 618, 846, 927, 1854, 4841, 9682, 14523, 29046, 43569, 87138.
What is 87138 in binary?
10101010001100010 (hexadecimal 15462, octal 252142).
What is the square root of 87138?
About 295.1915, exactly 3√9682.
Is 87138 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87138?
It is a composite number with 24 divisors.