The number 87488
87488 is a composite number with 14 divisors. Its prime factorisation is × 1367. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1367, 2734, 5468, 10936, 21872, 43744, 87488.
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How to work it out
- 1
87488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87488 is composite. Its prime factorisation is
- 3
The divisors add up to 173736; without 87488 itself that is 86248, so 87488 is deficient (86248 is less than 87488). Euler's totient φ(87488) = 43712 numbers up to 87488 share no factor with it.
- 4
The digits of 87488 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87488 = 2^{6} \times 1367 \]87488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 173736 |
| Euler totient φ(n) | 43712 |
| Square | 7654150144 |
| Cube | 669646287798272 |
| Square root | 295.783705 (= 8√1367) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.7488 × |
87488 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and eighty-eight |
| Binary (base 2) | 10101010111000000 |
| Octal (base 8) | 252700 |
| Hexadecimal (base 16) | 155C0 |
| Base 3 | 11110000022 |
| As time | 87488 seconds = 24 h 18 min 8 s |
Is 87488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87488 ÷ 2 = 43744) | 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 (87488 ÷ 4 = 21872) | 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 | 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 | Yes (87488 ÷ 8 = 10936) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 87488 a prime number?
No. 87488 = × 1367, so it is divisible by 2.
What are the factors of 87488?
1, 2, 4, 8, 16, 32, 64, 1367, 2734, 5468, 10936, 21872, 43744, 87488.
What is 87488 in binary?
10101010111000000 (hexadecimal 155C0, octal 252700).
What is the square root of 87488?
About 295.7837, exactly 8√1367.
Is 87488 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 87488?
It is a composite number with 14 divisors.