The number 87136
87136 is a composite number with 24 divisors. Its prime factorisation is × 7 × 389. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 389, 778, 1556, 2723 … 87136.
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How to work it out
- 1
87136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87136 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 87136 itself that is 109424, so 87136 is abundant (109424 is more than 87136). Euler's totient φ(87136) = 37248 numbers up to 87136 share no factor with it.
- 4
The digits of 87136 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87136 = 2^{5} \times 7 \times 389 \]87136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 37248 |
| Square | 7592682496 |
| Cube | 661595981971456 |
| Square root | 295.188076 (= 4√5446) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.7136 × |
87136 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and thirty-six |
| Binary (base 2) | 10101010001100000 |
| Octal (base 8) | 252140 |
| Hexadecimal (base 16) | 15460 |
| Base 3 | 11102112021 |
| As time | 87136 seconds = 24 h 12 min 16 s |
Is 87136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87136 ÷ 2 = 43568) | 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 (87136 ÷ 4 = 21784) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87136 ÷ 7 = 12448) | 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 (87136 ÷ 8 = 10892) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 87136 a prime number?
No. 87136 = × 7 × 389, so it is divisible by 2.
What are the factors of 87136?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 389, 778, 1556, 2723, 3112, 5446, 6224, 10892, 12448, 21784, 43568, 87136.
What is 87136 in binary?
10101010001100000 (hexadecimal 15460, octal 252140).
What is the square root of 87136?
About 295.1881, exactly 4√5446.
Is 87136 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 87136?
It is a composite number with 24 divisors.