The number 87248
87248 is a composite number with 40 divisors. Its prime factorisation is × 7 × 19 × 41. Divisors (40): 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 41, 56, 76, 82, 112, 133 … 87248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87248 is composite. Its prime factorisation is
- 3
The divisors add up to 208320; without 87248 itself that is 121072, so 87248 is abundant (121072 is more than 87248). Euler's totient φ(87248) = 34560 numbers up to 87248 share no factor with it.
- 4
The digits of 87248 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87248 = 2^{4} \times 7 \times 19 \times 41 \]87248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 208320 |
| Euler totient φ(n) | 34560 |
| Square | 7612213504 |
| Cube | 664150403796992 |
| Square root | 295.377724 (= 4√5453) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7248 × |
87248 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand two hundred and forty-eight |
| Binary (base 2) | 10101010011010000 |
| Octal (base 8) | 252320 |
| Hexadecimal (base 16) | 154D0 |
| Base 3 | 11102200102 |
| As time | 87248 seconds = 24 h 14 min 8 s |
Is 87248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87248 ÷ 2 = 43624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87248 ÷ 4 = 21812) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87248 ÷ 7 = 12464) | 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 (87248 ÷ 8 = 10906) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87248 a prime number?
No. 87248 = × 7 × 19 × 41, so it is divisible by 2.
What are the factors of 87248?
1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 41, 56, 76, 82, 112, 133, 152, 164, 266, 287, 304, 328, 532, 574, 656, 779, 1064, 1148, 1558, 2128, 2296, 3116, 4592, 5453, 6232, 10906, 12464, 21812, 43624, 87248.
What is 87248 in binary?
10101010011010000 (hexadecimal 154D0, octal 252320).
What is the square root of 87248?
About 295.3777, exactly 4√5453.
Is 87248 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 87248?
It is a composite number with 40 divisors.